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Finding the Fourth Proportional to 1,340.61, 1,850.21 and 781.10

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Solution

The fourth proportional to 1,340.61, 1,850.21 and 781.10 is: 1,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.61 : 1,850.21 = 781.10 : x
  2. Step 2: Convert to fraction form
    1,340.61/1,850.21 = 781.10/x
  3. Step 3: Cross multiply
    1,340.61x = 1,850.21 × 781.10
  4. Step 4: Simplify right side
    1,340.61x = 1,445,195.13
  5. Step 5: Solve for x
    x = 1,445,195.13/1,340.61
  6. Step 6: Final answer
    x = 1,078.02

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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.