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Finding the Fourth Proportional to 2,058.80, 3,089.82 and 760.64

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Solution

The fourth proportional to 2,058.80, 3,089.82 and 760.64 is: 1,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.80 : 3,089.82 = 760.64 : x
  2. Step 2: Convert to fraction form
    2,058.80/3,089.82 = 760.64/x
  3. Step 3: Cross multiply
    2,058.80x = 3,089.82 × 760.64
  4. Step 4: Simplify right side
    2,058.80x = 2,350,240.68
  5. Step 5: Solve for x
    x = 2,350,240.68/2,058.80
  6. Step 6: Final answer
    x = 1,141.56

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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.