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Finding the Fourth Proportional to 2,271.62, 3,407.91 and 732.50

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Solution

The fourth proportional to 2,271.62, 3,407.91 and 732.50 is: 1,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.62 : 3,407.91 = 732.50 : x
  2. Step 2: Convert to fraction form
    2,271.62/3,407.91 = 732.50/x
  3. Step 3: Cross multiply
    2,271.62x = 3,407.91 × 732.50
  4. Step 4: Simplify right side
    2,271.62x = 2,496,294.08
  5. Step 5: Solve for x
    x = 2,496,294.08/2,271.62
  6. Step 6: Final answer
    x = 1,098.90

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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.