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Finding the Fourth Proportional to 2,167.47, 3,253.10 and 1,617.93

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Solution

The fourth proportional to 2,167.47, 3,253.10 and 1,617.93 is: 2,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.47 : 3,253.10 = 1,617.93 : x
  2. Step 2: Convert to fraction form
    2,167.47/3,253.10 = 1,617.93/x
  3. Step 3: Cross multiply
    2,167.47x = 3,253.10 × 1,617.93
  4. Step 4: Simplify right side
    2,167.47x = 5,263,279.99
  5. Step 5: Solve for x
    x = 5,263,279.99/2,167.47
  6. Step 6: Final answer
    x = 2,428.31

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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.