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Finding the Fourth Proportional to 2,617.44, 3,610.05 and 1,909.17

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Solution

The fourth proportional to 2,617.44, 3,610.05 and 1,909.17 is: 2,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.44 : 3,610.05 = 1,909.17 : x
  2. Step 2: Convert to fraction form
    2,617.44/3,610.05 = 1,909.17/x
  3. Step 3: Cross multiply
    2,617.44x = 3,610.05 × 1,909.17
  4. Step 4: Simplify right side
    2,617.44x = 6,892,199.16
  5. Step 5: Solve for x
    x = 6,892,199.16/2,617.44
  6. Step 6: Final answer
    x = 2,633.18

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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.