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Finding the Fourth Proportional to 2,886.75, 4,330.30 and 912.44

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Solution

The fourth proportional to 2,886.75, 4,330.30 and 912.44 is: 1,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.75 : 4,330.30 = 912.44 : x
  2. Step 2: Convert to fraction form
    2,886.75/4,330.30 = 912.44/x
  3. Step 3: Cross multiply
    2,886.75x = 4,330.30 × 912.44
  4. Step 4: Simplify right side
    2,886.75x = 3,951,138.93
  5. Step 5: Solve for x
    x = 3,951,138.93/2,886.75
  6. Step 6: Final answer
    x = 1,368.72

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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.