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Finding the Fourth Proportional to 1,374.65, 2,057.18 and 1,124.96

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Solution

The fourth proportional to 1,374.65, 2,057.18 and 1,124.96 is: 1,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.65 : 2,057.18 = 1,124.96 : x
  2. Step 2: Convert to fraction form
    1,374.65/2,057.18 = 1,124.96/x
  3. Step 3: Cross multiply
    1,374.65x = 2,057.18 × 1,124.96
  4. Step 4: Simplify right side
    1,374.65x = 2,314,253.17
  5. Step 5: Solve for x
    x = 2,314,253.17/1,374.65
  6. Step 6: Final answer
    x = 1,683.53

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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.