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Finding the Fourth Proportional to 1,687.50, 2,329 and 1,613.70

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Solution

The fourth proportional to 1,687.50, 2,329 and 1,613.70 is: 2,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.50 : 2,329 = 1,613.70 : x
  2. Step 2: Convert to fraction form
    1,687.50/2,329 = 1,613.70/x
  3. Step 3: Cross multiply
    1,687.50x = 2,329 × 1,613.70
  4. Step 4: Simplify right side
    1,687.50x = 3,758,307.30
  5. Step 5: Solve for x
    x = 3,758,307.30/1,687.50
  6. Step 6: Final answer
    x = 2,227.15

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