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Finding the Fourth Proportional to 2,886.43, 4,329.02 and 912.21

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Solution

The fourth proportional to 2,886.43, 4,329.02 and 912.21 is: 1,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.43 : 4,329.02 = 912.21 : x
  2. Step 2: Convert to fraction form
    2,886.43/4,329.02 = 912.21/x
  3. Step 3: Cross multiply
    2,886.43x = 4,329.02 × 912.21
  4. Step 4: Simplify right side
    2,886.43x = 3,948,977.61
  5. Step 5: Solve for x
    x = 3,948,977.61/2,886.43
  6. Step 6: Final answer
    x = 1,368.12

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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.