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Finding the Fourth Proportional to 1,380.80, 2,061.04 and 1,294.40

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Solution

The fourth proportional to 1,380.80, 2,061.04 and 1,294.40 is: 1,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.80 : 2,061.04 = 1,294.40 : x
  2. Step 2: Convert to fraction form
    1,380.80/2,061.04 = 1,294.40/x
  3. Step 3: Cross multiply
    1,380.80x = 2,061.04 × 1,294.40
  4. Step 4: Simplify right side
    1,380.80x = 2,667,810.18
  5. Step 5: Solve for x
    x = 2,667,810.18/1,380.80
  6. Step 6: Final answer
    x = 1,932.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.