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Finding the Fourth Proportional to 3,246.78, 4,864.05 and 1,601.40

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Solution

The fourth proportional to 3,246.78, 4,864.05 and 1,601.40 is: 2,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.78 : 4,864.05 = 1,601.40 : x
  2. Step 2: Convert to fraction form
    3,246.78/4,864.05 = 1,601.40/x
  3. Step 3: Cross multiply
    3,246.78x = 4,864.05 × 1,601.40
  4. Step 4: Simplify right side
    3,246.78x = 7,789,289.67
  5. Step 5: Solve for x
    x = 7,789,289.67/3,246.78
  6. Step 6: Final answer
    x = 2,399.08

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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.