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Finding the Fourth Proportional to 2,549.77, 3,824.12 and 700.38

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Solution

The fourth proportional to 2,549.77, 3,824.12 and 700.38 is: 1,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.77 : 3,824.12 = 700.38 : x
  2. Step 2: Convert to fraction form
    2,549.77/3,824.12 = 700.38/x
  3. Step 3: Cross multiply
    2,549.77x = 3,824.12 × 700.38
  4. Step 4: Simplify right side
    2,549.77x = 2,678,338.92
  5. Step 5: Solve for x
    x = 2,678,338.92/2,549.77
  6. Step 6: Final answer
    x = 1,050.42

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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.