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Finding the Fourth Proportional to 2,145.17, 3,217.89 and 847.55

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Solution

The fourth proportional to 2,145.17, 3,217.89 and 847.55 is: 1,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.17 : 3,217.89 = 847.55 : x
  2. Step 2: Convert to fraction form
    2,145.17/3,217.89 = 847.55/x
  3. Step 3: Cross multiply
    2,145.17x = 3,217.89 × 847.55
  4. Step 4: Simplify right side
    2,145.17x = 2,727,306.58
  5. Step 5: Solve for x
    x = 2,727,306.58/2,145.17
  6. Step 6: Final answer
    x = 1,271.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.