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Finding the Fourth Proportional to 2,765.34, 3,816.92 and 1,587.20

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Solution

The fourth proportional to 2,765.34, 3,816.92 and 1,587.20 is: 2,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.34 : 3,816.92 = 1,587.20 : x
  2. Step 2: Convert to fraction form
    2,765.34/3,816.92 = 1,587.20/x
  3. Step 3: Cross multiply
    2,765.34x = 3,816.92 × 1,587.20
  4. Step 4: Simplify right side
    2,765.34x = 6,058,200.31
  5. Step 5: Solve for x
    x = 6,058,200.31/2,765.34
  6. Step 6: Final answer
    x = 2,190.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.