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Finding the Fourth Proportional to 2,861.76, 4,293.44 and 1,218.40

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Solution

The fourth proportional to 2,861.76, 4,293.44 and 1,218.40 is: 1,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.76 : 4,293.44 = 1,218.40 : x
  2. Step 2: Convert to fraction form
    2,861.76/4,293.44 = 1,218.40/x
  3. Step 3: Cross multiply
    2,861.76x = 4,293.44 × 1,218.40
  4. Step 4: Simplify right side
    2,861.76x = 5,231,127.30
  5. Step 5: Solve for x
    x = 5,231,127.30/2,861.76
  6. Step 6: Final answer
    x = 1,827.94

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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.