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Finding the Fourth Proportional to 1,227.10, 1,840.17 and 577.36

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Solution

The fourth proportional to 1,227.10, 1,840.17 and 577.36 is: 865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.10 : 1,840.17 = 577.36 : x
  2. Step 2: Convert to fraction form
    1,227.10/1,840.17 = 577.36/x
  3. Step 3: Cross multiply
    1,227.10x = 1,840.17 × 577.36
  4. Step 4: Simplify right side
    1,227.10x = 1,062,440.55
  5. Step 5: Solve for x
    x = 1,062,440.55/1,227.10
  6. Step 6: Final answer
    x = 865.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.