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Finding the Fourth Proportional to 1,948.50, 2,687.82 and 1,202.32

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Solution

The fourth proportional to 1,948.50, 2,687.82 and 1,202.32 is: 1,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.50 : 2,687.82 = 1,202.32 : x
  2. Step 2: Convert to fraction form
    1,948.50/2,687.82 = 1,202.32/x
  3. Step 3: Cross multiply
    1,948.50x = 2,687.82 × 1,202.32
  4. Step 4: Simplify right side
    1,948.50x = 3,231,619.74
  5. Step 5: Solve for x
    x = 3,231,619.74/1,948.50
  6. Step 6: Final answer
    x = 1,658.52

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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.