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Finding the Fourth Proportional to 2,137.35, 3,205.80 and 750.73

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Solution

The fourth proportional to 2,137.35, 3,205.80 and 750.73 is: 1,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.35 : 3,205.80 = 750.73 : x
  2. Step 2: Convert to fraction form
    2,137.35/3,205.80 = 750.73/x
  3. Step 3: Cross multiply
    2,137.35x = 3,205.80 × 750.73
  4. Step 4: Simplify right side
    2,137.35x = 2,406,690.23
  5. Step 5: Solve for x
    x = 2,406,690.23/2,137.35
  6. Step 6: Final answer
    x = 1,126.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.