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Finding the Fourth Proportional to 2,500.67, 3,748.45 and 1,264.33

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Solution

The fourth proportional to 2,500.67, 3,748.45 and 1,264.33 is: 1,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.67 : 3,748.45 = 1,264.33 : x
  2. Step 2: Convert to fraction form
    2,500.67/3,748.45 = 1,264.33/x
  3. Step 3: Cross multiply
    2,500.67x = 3,748.45 × 1,264.33
  4. Step 4: Simplify right side
    2,500.67x = 4,739,277.79
  5. Step 5: Solve for x
    x = 4,739,277.79/2,500.67
  6. Step 6: Final answer
    x = 1,895.20

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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.