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Finding the Fourth Proportional to 2,057.97, 2,839.97 and 1,113.74

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Solution

The fourth proportional to 2,057.97, 2,839.97 and 1,113.74 is: 1,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.97 : 2,839.97 = 1,113.74 : x
  2. Step 2: Convert to fraction form
    2,057.97/2,839.97 = 1,113.74/x
  3. Step 3: Cross multiply
    2,057.97x = 2,839.97 × 1,113.74
  4. Step 4: Simplify right side
    2,057.97x = 3,162,972.60
  5. Step 5: Solve for x
    x = 3,162,972.60/2,057.97
  6. Step 6: Final answer
    x = 1,536.94

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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.