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Finding the Fourth Proportional to 2,058.62, 3,087.63 and 597.92

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Solution

The fourth proportional to 2,058.62, 3,087.63 and 597.92 is: 896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.62 : 3,087.63 = 597.92 : x
  2. Step 2: Convert to fraction form
    2,058.62/3,087.63 = 597.92/x
  3. Step 3: Cross multiply
    2,058.62x = 3,087.63 × 597.92
  4. Step 4: Simplify right side
    2,058.62x = 1,846,140.29
  5. Step 5: Solve for x
    x = 1,846,140.29/2,058.62
  6. Step 6: Final answer
    x = 896.79

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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.