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Finding the Fourth Proportional to 2,971.12, 4,454.52 and 1,817.68

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Solution

The fourth proportional to 2,971.12, 4,454.52 and 1,817.68 is: 2,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.12 : 4,454.52 = 1,817.68 : x
  2. Step 2: Convert to fraction form
    2,971.12/4,454.52 = 1,817.68/x
  3. Step 3: Cross multiply
    2,971.12x = 4,454.52 × 1,817.68
  4. Step 4: Simplify right side
    2,971.12x = 8,096,891.91
  5. Step 5: Solve for x
    x = 8,096,891.91/2,971.12
  6. Step 6: Final answer
    x = 2,725.20

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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.