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Finding the Fourth Proportional to 1,541.80, 2,127.16 and 878.18

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Solution

The fourth proportional to 1,541.80, 2,127.16 and 878.18 is: 1,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.80 : 2,127.16 = 878.18 : x
  2. Step 2: Convert to fraction form
    1,541.80/2,127.16 = 878.18/x
  3. Step 3: Cross multiply
    1,541.80x = 2,127.16 × 878.18
  4. Step 4: Simplify right side
    1,541.80x = 1,868,027.81
  5. Step 5: Solve for x
    x = 1,868,027.81/1,541.80
  6. Step 6: Final answer
    x = 1,211.59

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Why These Related Problems?

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