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Finding the Fourth Proportional to 2,167.89, 3,252.15 and 706.74

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Solution

The fourth proportional to 2,167.89, 3,252.15 and 706.74 is: 1,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.89 : 3,252.15 = 706.74 : x
  2. Step 2: Convert to fraction form
    2,167.89/3,252.15 = 706.74/x
  3. Step 3: Cross multiply
    2,167.89x = 3,252.15 × 706.74
  4. Step 4: Simplify right side
    2,167.89x = 2,298,424.49
  5. Step 5: Solve for x
    x = 2,298,424.49/2,167.89
  6. Step 6: Final answer
    x = 1,060.21

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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.