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Finding the Fourth Proportional to 2,542.53, 3,807.12 and 2,046.30

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Solution

The fourth proportional to 2,542.53, 3,807.12 and 2,046.30 is: 3,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.53 : 3,807.12 = 2,046.30 : x
  2. Step 2: Convert to fraction form
    2,542.53/3,807.12 = 2,046.30/x
  3. Step 3: Cross multiply
    2,542.53x = 3,807.12 × 2,046.30
  4. Step 4: Simplify right side
    2,542.53x = 7,790,509.66
  5. Step 5: Solve for x
    x = 7,790,509.66/2,542.53
  6. Step 6: Final answer
    x = 3,064.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.