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Finding the Fourth Proportional to 2,006.63, 3,002.41 and 1,660.13

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Solution

The fourth proportional to 2,006.63, 3,002.41 and 1,660.13 is: 2,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.63 : 3,002.41 = 1,660.13 : x
  2. Step 2: Convert to fraction form
    2,006.63/3,002.41 = 1,660.13/x
  3. Step 3: Cross multiply
    2,006.63x = 3,002.41 × 1,660.13
  4. Step 4: Simplify right side
    2,006.63x = 4,984,390.91
  5. Step 5: Solve for x
    x = 4,984,390.91/2,006.63
  6. Step 6: Final answer
    x = 2,483.96

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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.