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Finding the Fourth Proportional to 1,657.27, 2,285.70 and 1,457.68

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Solution

The fourth proportional to 1,657.27, 2,285.70 and 1,457.68 is: 2,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.27 : 2,285.70 = 1,457.68 : x
  2. Step 2: Convert to fraction form
    1,657.27/2,285.70 = 1,457.68/x
  3. Step 3: Cross multiply
    1,657.27x = 2,285.70 × 1,457.68
  4. Step 4: Simplify right side
    1,657.27x = 3,331,819.18
  5. Step 5: Solve for x
    x = 3,331,819.18/1,657.27
  6. Step 6: Final answer
    x = 2,010.43

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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.