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Finding the Fourth Proportional to 2,341.82, 3,513.25 and 880.97

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Solution

The fourth proportional to 2,341.82, 3,513.25 and 880.97 is: 1,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.82 : 3,513.25 = 880.97 : x
  2. Step 2: Convert to fraction form
    2,341.82/3,513.25 = 880.97/x
  3. Step 3: Cross multiply
    2,341.82x = 3,513.25 × 880.97
  4. Step 4: Simplify right side
    2,341.82x = 3,095,063.45
  5. Step 5: Solve for x
    x = 3,095,063.45/2,341.82
  6. Step 6: Final answer
    x = 1,321.65

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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.