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Finding the Fourth Proportional to 2,160.39, 3,240.63 and 844.08

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Solution

The fourth proportional to 2,160.39, 3,240.63 and 844.08 is: 1,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.39 : 3,240.63 = 844.08 : x
  2. Step 2: Convert to fraction form
    2,160.39/3,240.63 = 844.08/x
  3. Step 3: Cross multiply
    2,160.39x = 3,240.63 × 844.08
  4. Step 4: Simplify right side
    2,160.39x = 2,735,350.97
  5. Step 5: Solve for x
    x = 2,735,350.97/2,160.39
  6. Step 6: Final answer
    x = 1,266.14

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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.