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Finding the Fourth Proportional to 1,380.57, 1,905.62 and 1,223.75

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Solution

The fourth proportional to 1,380.57, 1,905.62 and 1,223.75 is: 1,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.57 : 1,905.62 = 1,223.75 : x
  2. Step 2: Convert to fraction form
    1,380.57/1,905.62 = 1,223.75/x
  3. Step 3: Cross multiply
    1,380.57x = 1,905.62 × 1,223.75
  4. Step 4: Simplify right side
    1,380.57x = 2,331,986.83
  5. Step 5: Solve for x
    x = 2,331,986.83/1,380.57
  6. Step 6: Final answer
    x = 1,689.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.