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Finding the Fourth Proportional to 2,424.85, 3,344.02 and 1,929.13

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Solution

The fourth proportional to 2,424.85, 3,344.02 and 1,929.13 is: 2,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.85 : 3,344.02 = 1,929.13 : x
  2. Step 2: Convert to fraction form
    2,424.85/3,344.02 = 1,929.13/x
  3. Step 3: Cross multiply
    2,424.85x = 3,344.02 × 1,929.13
  4. Step 4: Simplify right side
    2,424.85x = 6,451,036.12
  5. Step 5: Solve for x
    x = 6,451,036.12/2,424.85
  6. Step 6: Final answer
    x = 2,660.39

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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.