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Finding the Fourth Proportional to 2,549.75, 3,823.92 and 700.43

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Solution

The fourth proportional to 2,549.75, 3,823.92 and 700.43 is: 1,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.75 : 3,823.92 = 700.43 : x
  2. Step 2: Convert to fraction form
    2,549.75/3,823.92 = 700.43/x
  3. Step 3: Cross multiply
    2,549.75x = 3,823.92 × 700.43
  4. Step 4: Simplify right side
    2,549.75x = 2,678,369.17
  5. Step 5: Solve for x
    x = 2,678,369.17/2,549.75
  6. Step 6: Final answer
    x = 1,050.44

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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.