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Finding the Fourth Proportional to 2,660.69, 3,984.03 and 1,876.46

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Solution

The fourth proportional to 2,660.69, 3,984.03 and 1,876.46 is: 2,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.69 : 3,984.03 = 1,876.46 : x
  2. Step 2: Convert to fraction form
    2,660.69/3,984.03 = 1,876.46/x
  3. Step 3: Cross multiply
    2,660.69x = 3,984.03 × 1,876.46
  4. Step 4: Simplify right side
    2,660.69x = 7,475,853.01
  5. Step 5: Solve for x
    x = 7,475,853.01/2,660.69
  6. Step 6: Final answer
    x = 2,809.75

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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.