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Finding the Fourth Proportional to 2,089.82, 3,134.88 and 703.16

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Solution

The fourth proportional to 2,089.82, 3,134.88 and 703.16 is: 1,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.82 : 3,134.88 = 703.16 : x
  2. Step 2: Convert to fraction form
    2,089.82/3,134.88 = 703.16/x
  3. Step 3: Cross multiply
    2,089.82x = 3,134.88 × 703.16
  4. Step 4: Simplify right side
    2,089.82x = 2,204,306.55
  5. Step 5: Solve for x
    x = 2,204,306.55/2,089.82
  6. Step 6: Final answer
    x = 1,054.79

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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.