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Finding the Fourth Proportional to 2,217.00, 3,325.68 and 735.91

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Solution

The fourth proportional to 2,217.00, 3,325.68 and 735.91 is: 1,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.00 : 3,325.68 = 735.91 : x
  2. Step 2: Convert to fraction form
    2,217.00/3,325.68 = 735.91/x
  3. Step 3: Cross multiply
    2,217.00x = 3,325.68 × 735.91
  4. Step 4: Simplify right side
    2,217.00x = 2,447,404.28
  5. Step 5: Solve for x
    x = 2,447,404.28/2,217.00
  6. Step 6: Final answer
    x = 1,103.93

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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.