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Finding the Fourth Proportional to 2,601.07, 3,901.87 and 846

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Solution

The fourth proportional to 2,601.07, 3,901.87 and 846 is: 1,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.07 : 3,901.87 = 846 : x
  2. Step 2: Convert to fraction form
    2,601.07/3,901.87 = 846/x
  3. Step 3: Cross multiply
    2,601.07x = 3,901.87 × 846
  4. Step 4: Simplify right side
    2,601.07x = 3,300,979.91
  5. Step 5: Solve for x
    x = 3,300,979.91/2,601.07
  6. Step 6: Final answer
    x = 1,269.09

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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.