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Finding the Fourth Proportional to 2,881.44, 3,977.04 and 2,414.88

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Solution

The fourth proportional to 2,881.44, 3,977.04 and 2,414.88 is: 3,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.44 : 3,977.04 = 2,414.88 : x
  2. Step 2: Convert to fraction form
    2,881.44/3,977.04 = 2,414.88/x
  3. Step 3: Cross multiply
    2,881.44x = 3,977.04 × 2,414.88
  4. Step 4: Simplify right side
    2,881.44x = 9,604,074.36
  5. Step 5: Solve for x
    x = 9,604,074.36/2,881.44
  6. Step 6: Final answer
    x = 3,333.08

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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.