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Finding the Fourth Proportional to 1,846.46, 2,549.14 and 1,257.86

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Solution

The fourth proportional to 1,846.46, 2,549.14 and 1,257.86 is: 1,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.46 : 2,549.14 = 1,257.86 : x
  2. Step 2: Convert to fraction form
    1,846.46/2,549.14 = 1,257.86/x
  3. Step 3: Cross multiply
    1,846.46x = 2,549.14 × 1,257.86
  4. Step 4: Simplify right side
    1,846.46x = 3,206,461.24
  5. Step 5: Solve for x
    x = 3,206,461.24/1,846.46
  6. Step 6: Final answer
    x = 1,736.55

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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.