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Finding the Fourth Proportional to 2,648.84, 3,974.48 and 1,350.40

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Solution

The fourth proportional to 2,648.84, 3,974.48 and 1,350.40 is: 2,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.84 : 3,974.48 = 1,350.40 : x
  2. Step 2: Convert to fraction form
    2,648.84/3,974.48 = 1,350.40/x
  3. Step 3: Cross multiply
    2,648.84x = 3,974.48 × 1,350.40
  4. Step 4: Simplify right side
    2,648.84x = 5,367,137.79
  5. Step 5: Solve for x
    x = 5,367,137.79/2,648.84
  6. Step 6: Final answer
    x = 2,026.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.