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Finding the Fourth Proportional to 3,248.70, 4,864.80 and 1,786.20

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Solution

The fourth proportional to 3,248.70, 4,864.80 and 1,786.20 is: 2,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.70 : 4,864.80 = 1,786.20 : x
  2. Step 2: Convert to fraction form
    3,248.70/4,864.80 = 1,786.20/x
  3. Step 3: Cross multiply
    3,248.70x = 4,864.80 × 1,786.20
  4. Step 4: Simplify right side
    3,248.70x = 8,689,505.76
  5. Step 5: Solve for x
    x = 8,689,505.76/3,248.70
  6. Step 6: Final answer
    x = 2,674.76

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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.