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Finding the Fourth Proportional to 2,143.66, 2,957.43 and 1,259.14

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Solution

The fourth proportional to 2,143.66, 2,957.43 and 1,259.14 is: 1,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.66 : 2,957.43 = 1,259.14 : x
  2. Step 2: Convert to fraction form
    2,143.66/2,957.43 = 1,259.14/x
  3. Step 3: Cross multiply
    2,143.66x = 2,957.43 × 1,259.14
  4. Step 4: Simplify right side
    2,143.66x = 3,723,818.41
  5. Step 5: Solve for x
    x = 3,723,818.41/2,143.66
  6. Step 6: Final answer
    x = 1,737.13

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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.