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Finding the Fourth Proportional to 2,160.36, 3,240.06 and 861.48

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Solution

The fourth proportional to 2,160.36, 3,240.06 and 861.48 is: 1,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.36 : 3,240.06 = 861.48 : x
  2. Step 2: Convert to fraction form
    2,160.36/3,240.06 = 861.48/x
  3. Step 3: Cross multiply
    2,160.36x = 3,240.06 × 861.48
  4. Step 4: Simplify right side
    2,160.36x = 2,791,246.89
  5. Step 5: Solve for x
    x = 2,791,246.89/2,160.36
  6. Step 6: Final answer
    x = 1,292.03

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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.