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Finding the Fourth Proportional to 2,542.65, 3,508.59 and 1,423.56

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Solution

The fourth proportional to 2,542.65, 3,508.59 and 1,423.56 is: 1,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.65 : 3,508.59 = 1,423.56 : x
  2. Step 2: Convert to fraction form
    2,542.65/3,508.59 = 1,423.56/x
  3. Step 3: Cross multiply
    2,542.65x = 3,508.59 × 1,423.56
  4. Step 4: Simplify right side
    2,542.65x = 4,994,688.38
  5. Step 5: Solve for x
    x = 4,994,688.38/2,542.65
  6. Step 6: Final answer
    x = 1,964.36

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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.