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Finding the Fourth Proportional to 2,451.60, 3,677.40 and 991.80

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Solution

The fourth proportional to 2,451.60, 3,677.40 and 991.80 is: 1,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.60 : 3,677.40 = 991.80 : x
  2. Step 2: Convert to fraction form
    2,451.60/3,677.40 = 991.80/x
  3. Step 3: Cross multiply
    2,451.60x = 3,677.40 × 991.80
  4. Step 4: Simplify right side
    2,451.60x = 3,647,245.32
  5. Step 5: Solve for x
    x = 3,647,245.32/2,451.60
  6. Step 6: Final answer
    x = 1,487.70

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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.