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Finding the Fourth Proportional to 2,456.40, 3,679.20 and 1,300.80

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Solution

The fourth proportional to 2,456.40, 3,679.20 and 1,300.80 is: 1,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.40 : 3,679.20 = 1,300.80 : x
  2. Step 2: Convert to fraction form
    2,456.40/3,679.20 = 1,300.80/x
  3. Step 3: Cross multiply
    2,456.40x = 3,679.20 × 1,300.80
  4. Step 4: Simplify right side
    2,456.40x = 4,785,903.36
  5. Step 5: Solve for x
    x = 4,785,903.36/2,456.40
  6. Step 6: Final answer
    x = 1,948.34

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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.