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Finding the Fourth Proportional to 3,251.80, 4,877.16 and 911.59

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Solution

The fourth proportional to 3,251.80, 4,877.16 and 911.59 is: 1,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.80 : 4,877.16 = 911.59 : x
  2. Step 2: Convert to fraction form
    3,251.80/4,877.16 = 911.59/x
  3. Step 3: Cross multiply
    3,251.80x = 4,877.16 × 911.59
  4. Step 4: Simplify right side
    3,251.80x = 4,445,980.38
  5. Step 5: Solve for x
    x = 4,445,980.38/3,251.80
  6. Step 6: Final answer
    x = 1,367.24

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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.