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Finding the Fourth Proportional to 2,648.08, 3,971.81 and 700.43

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Solution

The fourth proportional to 2,648.08, 3,971.81 and 700.43 is: 1,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.08 : 3,971.81 = 700.43 : x
  2. Step 2: Convert to fraction form
    2,648.08/3,971.81 = 700.43/x
  3. Step 3: Cross multiply
    2,648.08x = 3,971.81 × 700.43
  4. Step 4: Simplify right side
    2,648.08x = 2,781,971.38
  5. Step 5: Solve for x
    x = 2,781,971.38/2,648.08
  6. Step 6: Final answer
    x = 1,050.56

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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.