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Finding the Fourth Proportional to 2,966.80, 4,451.52 and 1,020.40

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Solution

The fourth proportional to 2,966.80, 4,451.52 and 1,020.40 is: 1,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.80 : 4,451.52 = 1,020.40 : x
  2. Step 2: Convert to fraction form
    2,966.80/4,451.52 = 1,020.40/x
  3. Step 3: Cross multiply
    2,966.80x = 4,451.52 × 1,020.40
  4. Step 4: Simplify right side
    2,966.80x = 4,542,331.01
  5. Step 5: Solve for x
    x = 4,542,331.01/2,966.80
  6. Step 6: Final answer
    x = 1,531.05

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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.