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Finding the Fourth Proportional to 2,500.72, 3,748.75 and 1,266.69

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Solution

The fourth proportional to 2,500.72, 3,748.75 and 1,266.69 is: 1,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.72 : 3,748.75 = 1,266.69 : x
  2. Step 2: Convert to fraction form
    2,500.72/3,748.75 = 1,266.69/x
  3. Step 3: Cross multiply
    2,500.72x = 3,748.75 × 1,266.69
  4. Step 4: Simplify right side
    2,500.72x = 4,748,493.94
  5. Step 5: Solve for x
    x = 4,748,493.94/2,500.72
  6. Step 6: Final answer
    x = 1,898.85

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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.