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Finding the Fourth Proportional to 2,391.62, 3,587.79 and 852.50

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Solution

The fourth proportional to 2,391.62, 3,587.79 and 852.50 is: 1,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.62 : 3,587.79 = 852.50 : x
  2. Step 2: Convert to fraction form
    2,391.62/3,587.79 = 852.50/x
  3. Step 3: Cross multiply
    2,391.62x = 3,587.79 × 852.50
  4. Step 4: Simplify right side
    2,391.62x = 3,058,590.98
  5. Step 5: Solve for x
    x = 3,058,590.98/2,391.62
  6. Step 6: Final answer
    x = 1,278.88

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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.