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Finding the Fourth Proportional to 2,861.04, 4,290.46 and 912.18

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Solution

The fourth proportional to 2,861.04, 4,290.46 and 912.18 is: 1,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.04 : 4,290.46 = 912.18 : x
  2. Step 2: Convert to fraction form
    2,861.04/4,290.46 = 912.18/x
  3. Step 3: Cross multiply
    2,861.04x = 4,290.46 × 912.18
  4. Step 4: Simplify right side
    2,861.04x = 3,913,671.80
  5. Step 5: Solve for x
    x = 3,913,671.80/2,861.04
  6. Step 6: Final answer
    x = 1,367.92

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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.