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Finding the Fourth Proportional to 2,648.93, 3,647.20 and 2,249.76

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Solution

The fourth proportional to 2,648.93, 3,647.20 and 2,249.76 is: 3,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.93 : 3,647.20 = 2,249.76 : x
  2. Step 2: Convert to fraction form
    2,648.93/3,647.20 = 2,249.76/x
  3. Step 3: Cross multiply
    2,648.93x = 3,647.20 × 2,249.76
  4. Step 4: Simplify right side
    2,648.93x = 8,205,324.67
  5. Step 5: Solve for x
    x = 8,205,324.67/2,648.93
  6. Step 6: Final answer
    x = 3,097.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.