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Finding the Fourth Proportional to 2,057.76, 3,087.15 and 596.89

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Solution

The fourth proportional to 2,057.76, 3,087.15 and 596.89 is: 895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.76 : 3,087.15 = 596.89 : x
  2. Step 2: Convert to fraction form
    2,057.76/3,087.15 = 596.89/x
  3. Step 3: Cross multiply
    2,057.76x = 3,087.15 × 596.89
  4. Step 4: Simplify right side
    2,057.76x = 1,842,690.58
  5. Step 5: Solve for x
    x = 1,842,690.58/2,057.76
  6. Step 6: Final answer
    x = 895.48

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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.