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Finding the Fourth Proportional to 2,302.71, 3,454.04 and 1,378.52

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Solution

The fourth proportional to 2,302.71, 3,454.04 and 1,378.52 is: 2,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.71 : 3,454.04 = 1,378.52 : x
  2. Step 2: Convert to fraction form
    2,302.71/3,454.04 = 1,378.52/x
  3. Step 3: Cross multiply
    2,302.71x = 3,454.04 × 1,378.52
  4. Step 4: Simplify right side
    2,302.71x = 4,761,474.02
  5. Step 5: Solve for x
    x = 4,761,474.02/2,302.71
  6. Step 6: Final answer
    x = 2,067.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.