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Finding the Fourth Proportional to 1,840.29, 2,757.92 and 972.87

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Solution

The fourth proportional to 1,840.29, 2,757.92 and 972.87 is: 1,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.29 : 2,757.92 = 972.87 : x
  2. Step 2: Convert to fraction form
    1,840.29/2,757.92 = 972.87/x
  3. Step 3: Cross multiply
    1,840.29x = 2,757.92 × 972.87
  4. Step 4: Simplify right side
    1,840.29x = 2,683,092.77
  5. Step 5: Solve for x
    x = 2,683,092.77/1,840.29
  6. Step 6: Final answer
    x = 1,457.97

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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.