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Finding the Fourth Proportional to 2,436.54, 3,654.02 and 792.65

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Solution

The fourth proportional to 2,436.54, 3,654.02 and 792.65 is: 1,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.54 : 3,654.02 = 792.65 : x
  2. Step 2: Convert to fraction form
    2,436.54/3,654.02 = 792.65/x
  3. Step 3: Cross multiply
    2,436.54x = 3,654.02 × 792.65
  4. Step 4: Simplify right side
    2,436.54x = 2,896,358.95
  5. Step 5: Solve for x
    x = 2,896,358.95/2,436.54
  6. Step 6: Final answer
    x = 1,188.72

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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.