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Finding the Fourth Proportional to 2,537.70, 3,806.47 and 1,504.78

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Solution

The fourth proportional to 2,537.70, 3,806.47 and 1,504.78 is: 2,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.70 : 3,806.47 = 1,504.78 : x
  2. Step 2: Convert to fraction form
    2,537.70/3,806.47 = 1,504.78/x
  3. Step 3: Cross multiply
    2,537.70x = 3,806.47 × 1,504.78
  4. Step 4: Simplify right side
    2,537.70x = 5,727,899.93
  5. Step 5: Solve for x
    x = 5,727,899.93/2,537.70
  6. Step 6: Final answer
    x = 2,257.12

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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.