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Finding the Fourth Proportional to 2,488.01, 3,730.86 and 844.11

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Solution

The fourth proportional to 2,488.01, 3,730.86 and 844.11 is: 1,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.01 : 3,730.86 = 844.11 : x
  2. Step 2: Convert to fraction form
    2,488.01/3,730.86 = 844.11/x
  3. Step 3: Cross multiply
    2,488.01x = 3,730.86 × 844.11
  4. Step 4: Simplify right side
    2,488.01x = 3,149,256.23
  5. Step 5: Solve for x
    x = 3,149,256.23/2,488.01
  6. Step 6: Final answer
    x = 1,265.78

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