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Finding the Fourth Proportional to 2,537.56, 3,806.47 and 806.32

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Solution

The fourth proportional to 2,537.56, 3,806.47 and 806.32 is: 1,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.56 : 3,806.47 = 806.32 : x
  2. Step 2: Convert to fraction form
    2,537.56/3,806.47 = 806.32/x
  3. Step 3: Cross multiply
    2,537.56x = 3,806.47 × 806.32
  4. Step 4: Simplify right side
    2,537.56x = 3,069,232.89
  5. Step 5: Solve for x
    x = 3,069,232.89/2,537.56
  6. Step 6: Final answer
    x = 1,209.52

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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.