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Finding the Fourth Proportional to 1,920.27, 2,650.11 and 1,134.78

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Solution

The fourth proportional to 1,920.27, 2,650.11 and 1,134.78 is: 1,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.27 : 2,650.11 = 1,134.78 : x
  2. Step 2: Convert to fraction form
    1,920.27/2,650.11 = 1,134.78/x
  3. Step 3: Cross multiply
    1,920.27x = 2,650.11 × 1,134.78
  4. Step 4: Simplify right side
    1,920.27x = 3,007,291.83
  5. Step 5: Solve for x
    x = 3,007,291.83/1,920.27
  6. Step 6: Final answer
    x = 1,566.08

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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.