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Finding the Fourth Proportional to 2,797.74, 3,858.33 and 2,424.54

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Solution

The fourth proportional to 2,797.74, 3,858.33 and 2,424.54 is: 3,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.74 : 3,858.33 = 2,424.54 : x
  2. Step 2: Convert to fraction form
    2,797.74/3,858.33 = 2,424.54/x
  3. Step 3: Cross multiply
    2,797.74x = 3,858.33 × 2,424.54
  4. Step 4: Simplify right side
    2,797.74x = 9,354,675.42
  5. Step 5: Solve for x
    x = 9,354,675.42/2,797.74
  6. Step 6: Final answer
    x = 3,343.65

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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.