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Finding the Fourth Proportional to 4,002.36, 6,001.24 and 1,660.40

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Solution

The fourth proportional to 4,002.36, 6,001.24 and 1,660.40 is: 2,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.36 : 6,001.24 = 1,660.40 : x
  2. Step 2: Convert to fraction form
    4,002.36/6,001.24 = 1,660.40/x
  3. Step 3: Cross multiply
    4,002.36x = 6,001.24 × 1,660.40
  4. Step 4: Simplify right side
    4,002.36x = 9,964,450.36
  5. Step 5: Solve for x
    x = 9,964,450.36/4,002.36
  6. Step 6: Final answer
    x = 2,489.64

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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.