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Finding the Fourth Proportional to 2,411.97, 3,329.13 and 1,364.64

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Solution

The fourth proportional to 2,411.97, 3,329.13 and 1,364.64 is: 1,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.97 : 3,329.13 = 1,364.64 : x
  2. Step 2: Convert to fraction form
    2,411.97/3,329.13 = 1,364.64/x
  3. Step 3: Cross multiply
    2,411.97x = 3,329.13 × 1,364.64
  4. Step 4: Simplify right side
    2,411.97x = 4,543,063.96
  5. Step 5: Solve for x
    x = 4,543,063.96/2,411.97
  6. Step 6: Final answer
    x = 1,883.55

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Why These Related Problems?

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