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Finding the Fourth Proportional to 2,542.68, 3,508.56 and 1,423.44

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Solution

The fourth proportional to 2,542.68, 3,508.56 and 1,423.44 is: 1,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.68 : 3,508.56 = 1,423.44 : x
  2. Step 2: Convert to fraction form
    2,542.68/3,508.56 = 1,423.44/x
  3. Step 3: Cross multiply
    2,542.68x = 3,508.56 × 1,423.44
  4. Step 4: Simplify right side
    2,542.68x = 4,994,224.65
  5. Step 5: Solve for x
    x = 4,994,224.65/2,542.68
  6. Step 6: Final answer
    x = 1,964.16

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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.