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Finding the Fourth Proportional to 2,511.74, 3,743.92 and 2,324.84

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Solution

The fourth proportional to 2,511.74, 3,743.92 and 2,324.84 is: 3,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.74 : 3,743.92 = 2,324.84 : x
  2. Step 2: Convert to fraction form
    2,511.74/3,743.92 = 2,324.84/x
  3. Step 3: Cross multiply
    2,511.74x = 3,743.92 × 2,324.84
  4. Step 4: Simplify right side
    2,511.74x = 8,703,999.16
  5. Step 5: Solve for x
    x = 8,703,999.16/2,511.74
  6. Step 6: Final answer
    x = 3,465.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.