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Finding the Fourth Proportional to 1,541.28, 2,126.46 and 878.04

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Solution

The fourth proportional to 1,541.28, 2,126.46 and 878.04 is: 1,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.28 : 2,126.46 = 878.04 : x
  2. Step 2: Convert to fraction form
    1,541.28/2,126.46 = 878.04/x
  3. Step 3: Cross multiply
    1,541.28x = 2,126.46 × 878.04
  4. Step 4: Simplify right side
    1,541.28x = 1,867,116.94
  5. Step 5: Solve for x
    x = 1,867,116.94/1,541.28
  6. Step 6: Final answer
    x = 1,211.41

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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.