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Finding the Fourth Proportional to 2,143.43, 2,957.06 and 1,397.12

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Solution

The fourth proportional to 2,143.43, 2,957.06 and 1,397.12 is: 1,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.43 : 2,957.06 = 1,397.12 : x
  2. Step 2: Convert to fraction form
    2,143.43/2,957.06 = 1,397.12/x
  3. Step 3: Cross multiply
    2,143.43x = 2,957.06 × 1,397.12
  4. Step 4: Simplify right side
    2,143.43x = 4,131,360.68
  5. Step 5: Solve for x
    x = 4,131,360.68/2,143.43
  6. Step 6: Final answer
    x = 1,927.46

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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.