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Finding the Fourth Proportional to 1,340.91, 1,849.82 and 781.25

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Solution

The fourth proportional to 1,340.91, 1,849.82 and 781.25 is: 1,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.91 : 1,849.82 = 781.25 : x
  2. Step 2: Convert to fraction form
    1,340.91/1,849.82 = 781.25/x
  3. Step 3: Cross multiply
    1,340.91x = 1,849.82 × 781.25
  4. Step 4: Simplify right side
    1,340.91x = 1,445,158.72
  5. Step 5: Solve for x
    x = 1,445,158.72/1,340.91
  6. Step 6: Final answer
    x = 1,077.74

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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.