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Finding the Fourth Proportional to 1,541.22, 2,126.80 and 878.08

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Solution

The fourth proportional to 1,541.22, 2,126.80 and 878.08 is: 1,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.22 : 2,126.80 = 878.08 : x
  2. Step 2: Convert to fraction form
    1,541.22/2,126.80 = 878.08/x
  3. Step 3: Cross multiply
    1,541.22x = 2,126.80 × 878.08
  4. Step 4: Simplify right side
    1,541.22x = 1,867,500.54
  5. Step 5: Solve for x
    x = 1,867,500.54/1,541.22
  6. Step 6: Final answer
    x = 1,211.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.