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Finding the Fourth Proportional to 3,248.40, 4,865.01 and 1,599.65

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Solution

The fourth proportional to 3,248.40, 4,865.01 and 1,599.65 is: 2,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.40 : 4,865.01 = 1,599.65 : x
  2. Step 2: Convert to fraction form
    3,248.40/4,865.01 = 1,599.65/x
  3. Step 3: Cross multiply
    3,248.40x = 4,865.01 × 1,599.65
  4. Step 4: Simplify right side
    3,248.40x = 7,782,313.25
  5. Step 5: Solve for x
    x = 7,782,313.25/3,248.40
  6. Step 6: Final answer
    x = 2,395.74

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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.