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Finding the Fourth Proportional to 2,752.04, 3,785.84 and 2,414.42

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Solution

The fourth proportional to 2,752.04, 3,785.84 and 2,414.42 is: 3,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.04 : 3,785.84 = 2,414.42 : x
  2. Step 2: Convert to fraction form
    2,752.04/3,785.84 = 2,414.42/x
  3. Step 3: Cross multiply
    2,752.04x = 3,785.84 × 2,414.42
  4. Step 4: Simplify right side
    2,752.04x = 9,140,607.81
  5. Step 5: Solve for x
    x = 9,140,607.81/2,752.04
  6. Step 6: Final answer
    x = 3,321.39

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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.