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Finding the Fourth Proportional to 1,882.75, 2,599.10 and 1,254.33

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Solution

The fourth proportional to 1,882.75, 2,599.10 and 1,254.33 is: 1,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.75 : 2,599.10 = 1,254.33 : x
  2. Step 2: Convert to fraction form
    1,882.75/2,599.10 = 1,254.33/x
  3. Step 3: Cross multiply
    1,882.75x = 2,599.10 × 1,254.33
  4. Step 4: Simplify right side
    1,882.75x = 3,260,129.10
  5. Step 5: Solve for x
    x = 3,260,129.10/1,882.75
  6. Step 6: Final answer
    x = 1,731.58

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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.