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Finding the Fourth Proportional to 3,123.72, 4,687.20 and 1,827.72

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Solution

The fourth proportional to 3,123.72, 4,687.20 and 1,827.72 is: 2,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.72 : 4,687.20 = 1,827.72 : x
  2. Step 2: Convert to fraction form
    3,123.72/4,687.20 = 1,827.72/x
  3. Step 3: Cross multiply
    3,123.72x = 4,687.20 × 1,827.72
  4. Step 4: Simplify right side
    3,123.72x = 8,566,889.18
  5. Step 5: Solve for x
    x = 8,566,889.18/3,123.72
  6. Step 6: Final answer
    x = 2,742.53

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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.