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Finding the Fourth Proportional to 3,251.30, 4,880.15 and 1,609.70

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Solution

The fourth proportional to 3,251.30, 4,880.15 and 1,609.70 is: 2,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.30 : 4,880.15 = 1,609.70 : x
  2. Step 2: Convert to fraction form
    3,251.30/4,880.15 = 1,609.70/x
  3. Step 3: Cross multiply
    3,251.30x = 4,880.15 × 1,609.70
  4. Step 4: Simplify right side
    3,251.30x = 7,855,577.46
  5. Step 5: Solve for x
    x = 7,855,577.46/3,251.30
  6. Step 6: Final answer
    x = 2,416.13

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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.