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Finding the Fourth Proportional to 1,291.60, 1,781.09 and 1,105.70

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Solution

The fourth proportional to 1,291.60, 1,781.09 and 1,105.70 is: 1,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.60 : 1,781.09 = 1,105.70 : x
  2. Step 2: Convert to fraction form
    1,291.60/1,781.09 = 1,105.70/x
  3. Step 3: Cross multiply
    1,291.60x = 1,781.09 × 1,105.70
  4. Step 4: Simplify right side
    1,291.60x = 1,969,353.98
  5. Step 5: Solve for x
    x = 1,969,353.98/1,291.60
  6. Step 6: Final answer
    x = 1,524.75

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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.