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Finding the Fourth Proportional to 2,781.60, 3,839.16 and 2,117.26

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Solution

The fourth proportional to 2,781.60, 3,839.16 and 2,117.26 is: 2,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.60 : 3,839.16 = 2,117.26 : x
  2. Step 2: Convert to fraction form
    2,781.60/3,839.16 = 2,117.26/x
  3. Step 3: Cross multiply
    2,781.60x = 3,839.16 × 2,117.26
  4. Step 4: Simplify right side
    2,781.60x = 8,128,499.90
  5. Step 5: Solve for x
    x = 8,128,499.90/2,781.60
  6. Step 6: Final answer
    x = 2,922.24

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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.