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Finding the Fourth Proportional to 2,471.13, 3,409.65 and 1,633.23

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Solution

The fourth proportional to 2,471.13, 3,409.65 and 1,633.23 is: 2,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.13 : 3,409.65 = 1,633.23 : x
  2. Step 2: Convert to fraction form
    2,471.13/3,409.65 = 1,633.23/x
  3. Step 3: Cross multiply
    2,471.13x = 3,409.65 × 1,633.23
  4. Step 4: Simplify right side
    2,471.13x = 5,568,742.67
  5. Step 5: Solve for x
    x = 5,568,742.67/2,471.13
  6. Step 6: Final answer
    x = 2,253.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.