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Finding the Fourth Proportional to 1,657.66, 2,486.10 and 732.71

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Solution

The fourth proportional to 1,657.66, 2,486.10 and 732.71 is: 1,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.66 : 2,486.10 = 732.71 : x
  2. Step 2: Convert to fraction form
    1,657.66/2,486.10 = 732.71/x
  3. Step 3: Cross multiply
    1,657.66x = 2,486.10 × 732.71
  4. Step 4: Simplify right side
    1,657.66x = 1,821,596.55
  5. Step 5: Solve for x
    x = 1,821,596.55/1,657.66
  6. Step 6: Final answer
    x = 1,098.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.