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Finding the Fourth Proportional to 2,167.53, 3,251.40 and 706.68

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Solution

The fourth proportional to 2,167.53, 3,251.40 and 706.68 is: 1,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.53 : 3,251.40 = 706.68 : x
  2. Step 2: Convert to fraction form
    2,167.53/3,251.40 = 706.68/x
  3. Step 3: Cross multiply
    2,167.53x = 3,251.40 × 706.68
  4. Step 4: Simplify right side
    2,167.53x = 2,297,699.35
  5. Step 5: Solve for x
    x = 2,297,699.35/2,167.53
  6. Step 6: Final answer
    x = 1,060.05

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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.