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Finding the Fourth Proportional to 2,142.53, 2,957.05 and 1,387.23

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Solution

The fourth proportional to 2,142.53, 2,957.05 and 1,387.23 is: 1,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.53 : 2,957.05 = 1,387.23 : x
  2. Step 2: Convert to fraction form
    2,142.53/2,957.05 = 1,387.23/x
  3. Step 3: Cross multiply
    2,142.53x = 2,957.05 × 1,387.23
  4. Step 4: Simplify right side
    2,142.53x = 4,102,108.47
  5. Step 5: Solve for x
    x = 4,102,108.47/2,142.53
  6. Step 6: Final answer
    x = 1,914.61

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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.