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Finding the Fourth Proportional to 3,089.84, 4,261.72 and 2,250.80

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Solution

The fourth proportional to 3,089.84, 4,261.72 and 2,250.80 is: 3,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.84 : 4,261.72 = 2,250.80 : x
  2. Step 2: Convert to fraction form
    3,089.84/4,261.72 = 2,250.80/x
  3. Step 3: Cross multiply
    3,089.84x = 4,261.72 × 2,250.80
  4. Step 4: Simplify right side
    3,089.84x = 9,592,279.38
  5. Step 5: Solve for x
    x = 9,592,279.38/3,089.84
  6. Step 6: Final answer
    x = 3,104.46

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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.