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Finding the Fourth Proportional to 2,431.01, 3,648.54 and 1,806.91

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Solution

The fourth proportional to 2,431.01, 3,648.54 and 1,806.91 is: 2,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.01 : 3,648.54 = 1,806.91 : x
  2. Step 2: Convert to fraction form
    2,431.01/3,648.54 = 1,806.91/x
  3. Step 3: Cross multiply
    2,431.01x = 3,648.54 × 1,806.91
  4. Step 4: Simplify right side
    2,431.01x = 6,592,583.41
  5. Step 5: Solve for x
    x = 6,592,583.41/2,431.01
  6. Step 6: Final answer
    x = 2,711.87

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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.