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Finding the Fourth Proportional to 2,057.97, 3,087.09 and 597.12

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Solution

The fourth proportional to 2,057.97, 3,087.09 and 597.12 is: 895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.97 : 3,087.09 = 597.12 : x
  2. Step 2: Convert to fraction form
    2,057.97/3,087.09 = 597.12/x
  3. Step 3: Cross multiply
    2,057.97x = 3,087.09 × 597.12
  4. Step 4: Simplify right side
    2,057.97x = 1,843,363.18
  5. Step 5: Solve for x
    x = 1,843,363.18/2,057.97
  6. Step 6: Final answer
    x = 895.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.