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Finding the Fourth Proportional to 2,601.13, 3,901.97 and 846.07

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Solution

The fourth proportional to 2,601.13, 3,901.97 and 846.07 is: 1,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.13 : 3,901.97 = 846.07 : x
  2. Step 2: Convert to fraction form
    2,601.13/3,901.97 = 846.07/x
  3. Step 3: Cross multiply
    2,601.13x = 3,901.97 × 846.07
  4. Step 4: Simplify right side
    2,601.13x = 3,301,316.02
  5. Step 5: Solve for x
    x = 3,301,316.02/2,601.13
  6. Step 6: Final answer
    x = 1,269.19

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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.