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Finding the Fourth Proportional to 1,617.24, 2,231.75 and 909.07

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Solution

The fourth proportional to 1,617.24, 2,231.75 and 909.07 is: 1,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.24 : 2,231.75 = 909.07 : x
  2. Step 2: Convert to fraction form
    1,617.24/2,231.75 = 909.07/x
  3. Step 3: Cross multiply
    1,617.24x = 2,231.75 × 909.07
  4. Step 4: Simplify right side
    1,617.24x = 2,028,806.85
  5. Step 5: Solve for x
    x = 2,028,806.85/1,617.24
  6. Step 6: Final answer
    x = 1,254.48

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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.