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Finding the Fourth Proportional to 2,167.38, 3,225.12 and 2,160.09

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Solution

The fourth proportional to 2,167.38, 3,225.12 and 2,160.09 is: 3,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.38 : 3,225.12 = 2,160.09 : x
  2. Step 2: Convert to fraction form
    2,167.38/3,225.12 = 2,160.09/x
  3. Step 3: Cross multiply
    2,167.38x = 3,225.12 × 2,160.09
  4. Step 4: Simplify right side
    2,167.38x = 6,966,549.46
  5. Step 5: Solve for x
    x = 6,966,549.46/2,167.38
  6. Step 6: Final answer
    x = 3,214.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.