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Finding the Fourth Proportional to 3,266.80, 4,901.40 and 1,319.20

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Solution

The fourth proportional to 3,266.80, 4,901.40 and 1,319.20 is: 1,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.80 : 4,901.40 = 1,319.20 : x
  2. Step 2: Convert to fraction form
    3,266.80/4,901.40 = 1,319.20/x
  3. Step 3: Cross multiply
    3,266.80x = 4,901.40 × 1,319.20
  4. Step 4: Simplify right side
    3,266.80x = 6,465,926.88
  5. Step 5: Solve for x
    x = 6,465,926.88/3,266.80
  6. Step 6: Final answer
    x = 1,979.28

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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.