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Finding the Fourth Proportional to 2,160.29, 3,240.59 and 861.75

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Solution

The fourth proportional to 2,160.29, 3,240.59 and 861.75 is: 1,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.29 : 3,240.59 = 861.75 : x
  2. Step 2: Convert to fraction form
    2,160.29/3,240.59 = 861.75/x
  3. Step 3: Cross multiply
    2,160.29x = 3,240.59 × 861.75
  4. Step 4: Simplify right side
    2,160.29x = 2,792,574.12
  5. Step 5: Solve for x
    x = 2,792,574.12/2,160.29
  6. Step 6: Final answer
    x = 1,292.68

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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.