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Finding the Fourth Proportional to 2,877.98, 3,971.24 and 1,618.88

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Solution

The fourth proportional to 2,877.98, 3,971.24 and 1,618.88 is: 2,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.98 : 3,971.24 = 1,618.88 : x
  2. Step 2: Convert to fraction form
    2,877.98/3,971.24 = 1,618.88/x
  3. Step 3: Cross multiply
    2,877.98x = 3,971.24 × 1,618.88
  4. Step 4: Simplify right side
    2,877.98x = 6,428,942.99
  5. Step 5: Solve for x
    x = 6,428,942.99/2,877.98
  6. Step 6: Final answer
    x = 2,233.84

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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.