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Finding the Fourth Proportional to 1,541.37, 2,127.27 and 878.38

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Solution

The fourth proportional to 1,541.37, 2,127.27 and 878.38 is: 1,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.37 : 2,127.27 = 878.38 : x
  2. Step 2: Convert to fraction form
    1,541.37/2,127.27 = 878.38/x
  3. Step 3: Cross multiply
    1,541.37x = 2,127.27 × 878.38
  4. Step 4: Simplify right side
    1,541.37x = 1,868,551.42
  5. Step 5: Solve for x
    x = 1,868,551.42/1,541.37
  6. Step 6: Final answer
    x = 1,212.27

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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.