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Finding the Fourth Proportional to 2,959.20, 4,438.80 and 2,776.80

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Solution

The fourth proportional to 2,959.20, 4,438.80 and 2,776.80 is: 4,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.20 : 4,438.80 = 2,776.80 : x
  2. Step 2: Convert to fraction form
    2,959.20/4,438.80 = 2,776.80/x
  3. Step 3: Cross multiply
    2,959.20x = 4,438.80 × 2,776.80
  4. Step 4: Simplify right side
    2,959.20x = 12,325,659.84
  5. Step 5: Solve for x
    x = 12,325,659.84/2,959.20
  6. Step 6: Final answer
    x = 4,165.20

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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.