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Finding the Fourth Proportional to 2,669.49, 4,002.70 and 1,107.71

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Solution

The fourth proportional to 2,669.49, 4,002.70 and 1,107.71 is: 1,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.49 : 4,002.70 = 1,107.71 : x
  2. Step 2: Convert to fraction form
    2,669.49/4,002.70 = 1,107.71/x
  3. Step 3: Cross multiply
    2,669.49x = 4,002.70 × 1,107.71
  4. Step 4: Simplify right side
    2,669.49x = 4,433,830.82
  5. Step 5: Solve for x
    x = 4,433,830.82/2,669.49
  6. Step 6: Final answer
    x = 1,660.93

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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.