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Finding the Fourth Proportional to 4,294.62, 6,437.37 and 1,661.34

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Solution

The fourth proportional to 4,294.62, 6,437.37 and 1,661.34 is: 2,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.62 : 6,437.37 = 1,661.34 : x
  2. Step 2: Convert to fraction form
    4,294.62/6,437.37 = 1,661.34/x
  3. Step 3: Cross multiply
    4,294.62x = 6,437.37 × 1,661.34
  4. Step 4: Simplify right side
    4,294.62x = 10,694,660.28
  5. Step 5: Solve for x
    x = 10,694,660.28/4,294.62
  6. Step 6: Final answer
    x = 2,490.25

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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.