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Finding the Fourth Proportional to 2,806.31, 4,210.97 and 1,247.87

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Solution

The fourth proportional to 2,806.31, 4,210.97 and 1,247.87 is: 1,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.31 : 4,210.97 = 1,247.87 : x
  2. Step 2: Convert to fraction form
    2,806.31/4,210.97 = 1,247.87/x
  3. Step 3: Cross multiply
    2,806.31x = 4,210.97 × 1,247.87
  4. Step 4: Simplify right side
    2,806.31x = 5,254,747.42
  5. Step 5: Solve for x
    x = 5,254,747.42/2,806.31
  6. Step 6: Final answer
    x = 1,872.47

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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.