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Finding the Fourth Proportional to 3,248.40, 4,870.20 and 1,299.60

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Solution

The fourth proportional to 3,248.40, 4,870.20 and 1,299.60 is: 1,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.40 : 4,870.20 = 1,299.60 : x
  2. Step 2: Convert to fraction form
    3,248.40/4,870.20 = 1,299.60/x
  3. Step 3: Cross multiply
    3,248.40x = 4,870.20 × 1,299.60
  4. Step 4: Simplify right side
    3,248.40x = 6,329,311.92
  5. Step 5: Solve for x
    x = 6,329,311.92/3,248.40
  6. Step 6: Final answer
    x = 1,948.44

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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.