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Finding the Fourth Proportional to 2,439.60, 3,657.20 and 900.24

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Solution

The fourth proportional to 2,439.60, 3,657.20 and 900.24 is: 1,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.60 : 3,657.20 = 900.24 : x
  2. Step 2: Convert to fraction form
    2,439.60/3,657.20 = 900.24/x
  3. Step 3: Cross multiply
    2,439.60x = 3,657.20 × 900.24
  4. Step 4: Simplify right side
    2,439.60x = 3,292,357.73
  5. Step 5: Solve for x
    x = 3,292,357.73/2,439.60
  6. Step 6: Final answer
    x = 1,349.55

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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.