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Finding the Fourth Proportional to 1,617.13, 2,231.67 and 909.12

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Solution

The fourth proportional to 1,617.13, 2,231.67 and 909.12 is: 1,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.13 : 2,231.67 = 909.12 : x
  2. Step 2: Convert to fraction form
    1,617.13/2,231.67 = 909.12/x
  3. Step 3: Cross multiply
    1,617.13x = 2,231.67 × 909.12
  4. Step 4: Simplify right side
    1,617.13x = 2,028,855.83
  5. Step 5: Solve for x
    x = 2,028,855.83/1,617.13
  6. Step 6: Final answer
    x = 1,254.60

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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.