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Finding the Fourth Proportional to 1,541.14, 2,127.17 and 951.34

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Solution

The fourth proportional to 1,541.14, 2,127.17 and 951.34 is: 1,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.14 : 2,127.17 = 951.34 : x
  2. Step 2: Convert to fraction form
    1,541.14/2,127.17 = 951.34/x
  3. Step 3: Cross multiply
    1,541.14x = 2,127.17 × 951.34
  4. Step 4: Simplify right side
    1,541.14x = 2,023,656.59
  5. Step 5: Solve for x
    x = 2,023,656.59/1,541.14
  6. Step 6: Final answer
    x = 1,313.09

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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.