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Finding the Fourth Proportional to 4,328.31, 6,490.68 and 1,659.49

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Solution

The fourth proportional to 4,328.31, 6,490.68 and 1,659.49 is: 2,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.31 : 6,490.68 = 1,659.49 : x
  2. Step 2: Convert to fraction form
    4,328.31/6,490.68 = 1,659.49/x
  3. Step 3: Cross multiply
    4,328.31x = 6,490.68 × 1,659.49
  4. Step 4: Simplify right side
    4,328.31x = 10,771,205.44
  5. Step 5: Solve for x
    x = 10,771,205.44/4,328.31
  6. Step 6: Final answer
    x = 2,488.55

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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.