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Finding the Fourth Proportional to 2,483.22, 3,425.74 and 1,538.76

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Solution

The fourth proportional to 2,483.22, 3,425.74 and 1,538.76 is: 2,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.22 : 3,425.74 = 1,538.76 : x
  2. Step 2: Convert to fraction form
    2,483.22/3,425.74 = 1,538.76/x
  3. Step 3: Cross multiply
    2,483.22x = 3,425.74 × 1,538.76
  4. Step 4: Simplify right side
    2,483.22x = 5,271,391.68
  5. Step 5: Solve for x
    x = 5,271,391.68/2,483.22
  6. Step 6: Final answer
    x = 2,122.80

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.