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Finding the Fourth Proportional to 2,542.84, 3,509 and 1,423.92

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Solution

The fourth proportional to 2,542.84, 3,509 and 1,423.92 is: 1,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.84 : 3,509 = 1,423.92 : x
  2. Step 2: Convert to fraction form
    2,542.84/3,509 = 1,423.92/x
  3. Step 3: Cross multiply
    2,542.84x = 3,509 × 1,423.92
  4. Step 4: Simplify right side
    2,542.84x = 4,996,535.28
  5. Step 5: Solve for x
    x = 4,996,535.28/2,542.84
  6. Step 6: Final answer
    x = 1,964.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.