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Finding the Fourth Proportional to 2,532.67, 3,799.01 and 1,666.78

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Solution

The fourth proportional to 2,532.67, 3,799.01 and 1,666.78 is: 2,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.67 : 3,799.01 = 1,666.78 : x
  2. Step 2: Convert to fraction form
    2,532.67/3,799.01 = 1,666.78/x
  3. Step 3: Cross multiply
    2,532.67x = 3,799.01 × 1,666.78
  4. Step 4: Simplify right side
    2,532.67x = 6,332,113.89
  5. Step 5: Solve for x
    x = 6,332,113.89/2,532.67
  6. Step 6: Final answer
    x = 2,500.17

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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.