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Finding the Fourth Proportional to 2,653.54, 3,960.85 and 2,342.19

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Solution

The fourth proportional to 2,653.54, 3,960.85 and 2,342.19 is: 3,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.54 : 3,960.85 = 2,342.19 : x
  2. Step 2: Convert to fraction form
    2,653.54/3,960.85 = 2,342.19/x
  3. Step 3: Cross multiply
    2,653.54x = 3,960.85 × 2,342.19
  4. Step 4: Simplify right side
    2,653.54x = 9,277,063.26
  5. Step 5: Solve for x
    x = 9,277,063.26/2,653.54
  6. Step 6: Final answer
    x = 3,496.11

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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.