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Finding the Fourth Proportional to 2,058.54, 3,088.26 and 597.83

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Solution

The fourth proportional to 2,058.54, 3,088.26 and 597.83 is: 896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.54 : 3,088.26 = 597.83 : x
  2. Step 2: Convert to fraction form
    2,058.54/3,088.26 = 597.83/x
  3. Step 3: Cross multiply
    2,058.54x = 3,088.26 × 597.83
  4. Step 4: Simplify right side
    2,058.54x = 1,846,239.03
  5. Step 5: Solve for x
    x = 1,846,239.03/2,058.54
  6. Step 6: Final answer
    x = 896.87

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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.