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Finding the Fourth Proportional to 2,058.75, 3,088.13 and 597.92

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Solution

The fourth proportional to 2,058.75, 3,088.13 and 597.92 is: 896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.75 : 3,088.13 = 597.92 : x
  2. Step 2: Convert to fraction form
    2,058.75/3,088.13 = 597.92/x
  3. Step 3: Cross multiply
    2,058.75x = 3,088.13 × 597.92
  4. Step 4: Simplify right side
    2,058.75x = 1,846,436.26
  5. Step 5: Solve for x
    x = 1,846,436.26/2,058.75
  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.