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Finding the Fourth Proportional to 2,648.38, 3,972.76 and 893.38

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Solution

The fourth proportional to 2,648.38, 3,972.76 and 893.38 is: 1,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.38 : 3,972.76 = 893.38 : x
  2. Step 2: Convert to fraction form
    2,648.38/3,972.76 = 893.38/x
  3. Step 3: Cross multiply
    2,648.38x = 3,972.76 × 893.38
  4. Step 4: Simplify right side
    2,648.38x = 3,549,184.33
  5. Step 5: Solve for x
    x = 3,549,184.33/2,648.38
  6. Step 6: Final answer
    x = 1,340.13

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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.