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Finding the Fourth Proportional to 2,668.28, 3,999.38 and 1,024.11

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Solution

The fourth proportional to 2,668.28, 3,999.38 and 1,024.11 is: 1,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.28 : 3,999.38 = 1,024.11 : x
  2. Step 2: Convert to fraction form
    2,668.28/3,999.38 = 1,024.11/x
  3. Step 3: Cross multiply
    2,668.28x = 3,999.38 × 1,024.11
  4. Step 4: Simplify right side
    2,668.28x = 4,095,799.93
  5. Step 5: Solve for x
    x = 4,095,799.93/2,668.28
  6. Step 6: Final answer
    x = 1,535.00

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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.