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Finding the Fourth Proportional to 2,390.52, 3,584.61 and 747.24

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Solution

The fourth proportional to 2,390.52, 3,584.61 and 747.24 is: 1,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.52 : 3,584.61 = 747.24 : x
  2. Step 2: Convert to fraction form
    2,390.52/3,584.61 = 747.24/x
  3. Step 3: Cross multiply
    2,390.52x = 3,584.61 × 747.24
  4. Step 4: Simplify right side
    2,390.52x = 2,678,563.98
  5. Step 5: Solve for x
    x = 2,678,563.98/2,390.52
  6. Step 6: Final answer
    x = 1,120.49

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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.