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Finding the Fourth Proportional to 2,304.40, 3,454.70 and 917.14

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Solution

The fourth proportional to 2,304.40, 3,454.70 and 917.14 is: 1,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.40 : 3,454.70 = 917.14 : x
  2. Step 2: Convert to fraction form
    2,304.40/3,454.70 = 917.14/x
  3. Step 3: Cross multiply
    2,304.40x = 3,454.70 × 917.14
  4. Step 4: Simplify right side
    2,304.40x = 3,168,443.56
  5. Step 5: Solve for x
    x = 3,168,443.56/2,304.40
  6. Step 6: Final answer
    x = 1,374.95

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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.