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Finding the Fourth Proportional to 1,520.80, 2,280.12 and 741.04

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Solution

The fourth proportional to 1,520.80, 2,280.12 and 741.04 is: 1,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.80 : 2,280.12 = 741.04 : x
  2. Step 2: Convert to fraction form
    1,520.80/2,280.12 = 741.04/x
  3. Step 3: Cross multiply
    1,520.80x = 2,280.12 × 741.04
  4. Step 4: Simplify right side
    1,520.80x = 1,689,660.12
  5. Step 5: Solve for x
    x = 1,689,660.12/1,520.80
  6. Step 6: Final answer
    x = 1,111.03

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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.