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Finding the Fourth Proportional to 2,498.01, 3,747.35 and 854.11

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Solution

The fourth proportional to 2,498.01, 3,747.35 and 854.11 is: 1,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.01 : 3,747.35 = 854.11 : x
  2. Step 2: Convert to fraction form
    2,498.01/3,747.35 = 854.11/x
  3. Step 3: Cross multiply
    2,498.01x = 3,747.35 × 854.11
  4. Step 4: Simplify right side
    2,498.01x = 3,200,649.11
  5. Step 5: Solve for x
    x = 3,200,649.11/2,498.01
  6. Step 6: Final answer
    x = 1,281.28

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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.