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Finding the Fourth Proportional to 2,165.38, 3,239.16 and 1,616.20

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Solution

The fourth proportional to 2,165.38, 3,239.16 and 1,616.20 is: 2,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.38 : 3,239.16 = 1,616.20 : x
  2. Step 2: Convert to fraction form
    2,165.38/3,239.16 = 1,616.20/x
  3. Step 3: Cross multiply
    2,165.38x = 3,239.16 × 1,616.20
  4. Step 4: Simplify right side
    2,165.38x = 5,235,130.39
  5. Step 5: Solve for x
    x = 5,235,130.39/2,165.38
  6. Step 6: Final answer
    x = 2,417.65

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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.