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Finding the Fourth Proportional to 2,068.38, 3,097.71 and 1,721.70

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Solution

The fourth proportional to 2,068.38, 3,097.71 and 1,721.70 is: 2,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.38 : 3,097.71 = 1,721.70 : x
  2. Step 2: Convert to fraction form
    2,068.38/3,097.71 = 1,721.70/x
  3. Step 3: Cross multiply
    2,068.38x = 3,097.71 × 1,721.70
  4. Step 4: Simplify right side
    2,068.38x = 5,333,327.31
  5. Step 5: Solve for x
    x = 5,333,327.31/2,068.38
  6. Step 6: Final answer
    x = 2,578.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.