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Finding the Fourth Proportional to 2,817.62, 3,888.34 and 1,575.62

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Solution

The fourth proportional to 2,817.62, 3,888.34 and 1,575.62 is: 2,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.62 : 3,888.34 = 1,575.62 : x
  2. Step 2: Convert to fraction form
    2,817.62/3,888.34 = 1,575.62/x
  3. Step 3: Cross multiply
    2,817.62x = 3,888.34 × 1,575.62
  4. Step 4: Simplify right side
    2,817.62x = 6,126,546.27
  5. Step 5: Solve for x
    x = 6,126,546.27/2,817.62
  6. Step 6: Final answer
    x = 2,174.37

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Half 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.