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Finding the Fourth Proportional to 2,365.96, 3,549.04 and 634.58

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Solution

The fourth proportional to 2,365.96, 3,549.04 and 634.58 is: 951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.96 : 3,549.04 = 634.58 : x
  2. Step 2: Convert to fraction form
    2,365.96/3,549.04 = 634.58/x
  3. Step 3: Cross multiply
    2,365.96x = 3,549.04 × 634.58
  4. Step 4: Simplify right side
    2,365.96x = 2,252,149.80
  5. Step 5: Solve for x
    x = 2,252,149.80/2,365.96
  6. Step 6: Final answer
    x = 951.90

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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.