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Finding the Fourth Proportional to 2,304.15, 3,456.44 and 917.17

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Solution

The fourth proportional to 2,304.15, 3,456.44 and 917.17 is: 1,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.15 : 3,456.44 = 917.17 : x
  2. Step 2: Convert to fraction form
    2,304.15/3,456.44 = 917.17/x
  3. Step 3: Cross multiply
    2,304.15x = 3,456.44 × 917.17
  4. Step 4: Simplify right side
    2,304.15x = 3,170,133.29
  5. Step 5: Solve for x
    x = 3,170,133.29/2,304.15
  6. Step 6: Final answer
    x = 1,375.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.