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Finding the Fourth Proportional to 2,806.46, 3,873.26 and 1,687.98

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Solution

The fourth proportional to 2,806.46, 3,873.26 and 1,687.98 is: 2,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.46 : 3,873.26 = 1,687.98 : x
  2. Step 2: Convert to fraction form
    2,806.46/3,873.26 = 1,687.98/x
  3. Step 3: Cross multiply
    2,806.46x = 3,873.26 × 1,687.98
  4. Step 4: Simplify right side
    2,806.46x = 6,537,985.41
  5. Step 5: Solve for x
    x = 6,537,985.41/2,806.46
  6. Step 6: Final answer
    x = 2,329.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.