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Finding the Fourth Proportional to 1,380.31, 2,065.21 and 933.79

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Solution

The fourth proportional to 1,380.31, 2,065.21 and 933.79 is: 1,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.31 : 2,065.21 = 933.79 : x
  2. Step 2: Convert to fraction form
    1,380.31/2,065.21 = 933.79/x
  3. Step 3: Cross multiply
    1,380.31x = 2,065.21 × 933.79
  4. Step 4: Simplify right side
    1,380.31x = 1,928,467.78
  5. Step 5: Solve for x
    x = 1,928,467.78/1,380.31
  6. Step 6: Final answer
    x = 1,397.13

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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.