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Finding the Fourth Proportional to 1,948.90, 2,689.46 and 1,202.56

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Solution

The fourth proportional to 1,948.90, 2,689.46 and 1,202.56 is: 1,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.90 : 2,689.46 = 1,202.56 : x
  2. Step 2: Convert to fraction form
    1,948.90/2,689.46 = 1,202.56/x
  3. Step 3: Cross multiply
    1,948.90x = 2,689.46 × 1,202.56
  4. Step 4: Simplify right side
    1,948.90x = 3,234,237.02
  5. Step 5: Solve for x
    x = 3,234,237.02/1,948.90
  6. Step 6: Final answer
    x = 1,659.52

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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.