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Finding the Fourth Proportional to 4,304.32, 6,456.83 and 1,674

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Solution

The fourth proportional to 4,304.32, 6,456.83 and 1,674 is: 2,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.32 : 6,456.83 = 1,674 : x
  2. Step 2: Convert to fraction form
    4,304.32/6,456.83 = 1,674/x
  3. Step 3: Cross multiply
    4,304.32x = 6,456.83 × 1,674
  4. Step 4: Simplify right side
    4,304.32x = 10,808,725.05
  5. Step 5: Solve for x
    x = 10,808,725.05/4,304.32
  6. Step 6: Final answer
    x = 2,511.14

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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.