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Finding the Fourth Proportional to 2,498.04, 3,747.06 and 854.60

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Solution

The fourth proportional to 2,498.04, 3,747.06 and 854.60 is: 1,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.04 : 3,747.06 = 854.60 : x
  2. Step 2: Convert to fraction form
    2,498.04/3,747.06 = 854.60/x
  3. Step 3: Cross multiply
    2,498.04x = 3,747.06 × 854.60
  4. Step 4: Simplify right side
    2,498.04x = 3,202,237.48
  5. Step 5: Solve for x
    x = 3,202,237.48/2,498.04
  6. Step 6: Final answer
    x = 1,281.90

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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.