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Finding the Fourth Proportional to 2,537.31, 3,806.58 and 805.94

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Solution

The fourth proportional to 2,537.31, 3,806.58 and 805.94 is: 1,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.31 : 3,806.58 = 805.94 : x
  2. Step 2: Convert to fraction form
    2,537.31/3,806.58 = 805.94/x
  3. Step 3: Cross multiply
    2,537.31x = 3,806.58 × 805.94
  4. Step 4: Simplify right side
    2,537.31x = 3,067,875.09
  5. Step 5: Solve for x
    x = 3,067,875.09/2,537.31
  6. Step 6: Final answer
    x = 1,209.11

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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.