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Finding the Fourth Proportional to 2,456.40, 3,679.20 and 1,479

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Solution

The fourth proportional to 2,456.40, 3,679.20 and 1,479 is: 2,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.40 : 3,679.20 = 1,479 : x
  2. Step 2: Convert to fraction form
    2,456.40/3,679.20 = 1,479/x
  3. Step 3: Cross multiply
    2,456.40x = 3,679.20 × 1,479
  4. Step 4: Simplify right side
    2,456.40x = 5,441,536.80
  5. Step 5: Solve for x
    x = 5,441,536.80/2,456.40
  6. Step 6: Final answer
    x = 2,215.25

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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.