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Finding the Fourth Proportional to 1,359.31, 1,874.45 and 1,209.46

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Solution

The fourth proportional to 1,359.31, 1,874.45 and 1,209.46 is: 1,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.31 : 1,874.45 = 1,209.46 : x
  2. Step 2: Convert to fraction form
    1,359.31/1,874.45 = 1,209.46/x
  3. Step 3: Cross multiply
    1,359.31x = 1,874.45 × 1,209.46
  4. Step 4: Simplify right side
    1,359.31x = 2,267,072.30
  5. Step 5: Solve for x
    x = 2,267,072.30/1,359.31
  6. Step 6: Final answer
    x = 1,667.81

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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.