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Finding the Fourth Proportional to 1,341.30, 1,850.94 and 781.80

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Solution

The fourth proportional to 1,341.30, 1,850.94 and 781.80 is: 1,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.30 : 1,850.94 = 781.80 : x
  2. Step 2: Convert to fraction form
    1,341.30/1,850.94 = 781.80/x
  3. Step 3: Cross multiply
    1,341.30x = 1,850.94 × 781.80
  4. Step 4: Simplify right side
    1,341.30x = 1,447,064.89
  5. Step 5: Solve for x
    x = 1,447,064.89/1,341.30
  6. Step 6: Final answer
    x = 1,078.85

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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.