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Finding the Fourth Proportional to 2,137.76, 3,205.88 and 750.80

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Solution

The fourth proportional to 2,137.76, 3,205.88 and 750.80 is: 1,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.76 : 3,205.88 = 750.80 : x
  2. Step 2: Convert to fraction form
    2,137.76/3,205.88 = 750.80/x
  3. Step 3: Cross multiply
    2,137.76x = 3,205.88 × 750.80
  4. Step 4: Simplify right side
    2,137.76x = 2,406,974.70
  5. Step 5: Solve for x
    x = 2,406,974.70/2,137.76
  6. Step 6: Final answer
    x = 1,125.93

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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.