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Finding the Fourth Proportional to 2,543.79, 3,510.49 and 1,424.97

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Solution

The fourth proportional to 2,543.79, 3,510.49 and 1,424.97 is: 1,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.79 : 3,510.49 = 1,424.97 : x
  2. Step 2: Convert to fraction form
    2,543.79/3,510.49 = 1,424.97/x
  3. Step 3: Cross multiply
    2,543.79x = 3,510.49 × 1,424.97
  4. Step 4: Simplify right side
    2,543.79x = 5,002,332.17
  5. Step 5: Solve for x
    x = 5,002,332.17/2,543.79
  6. Step 6: Final answer
    x = 1,966.49

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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.