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Finding the Fourth Proportional to 1,948.16, 2,687.04 and 1,358.84

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Solution

The fourth proportional to 1,948.16, 2,687.04 and 1,358.84 is: 1,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.16 : 2,687.04 = 1,358.84 : x
  2. Step 2: Convert to fraction form
    1,948.16/2,687.04 = 1,358.84/x
  3. Step 3: Cross multiply
    1,948.16x = 2,687.04 × 1,358.84
  4. Step 4: Simplify right side
    1,948.16x = 3,651,257.43
  5. Step 5: Solve for x
    x = 3,651,257.43/1,948.16
  6. Step 6: Final answer
    x = 1,874.21

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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.