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Finding the Fourth Proportional to 3,495.14, 4,822.70 and 2,097.90

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Solution

The fourth proportional to 3,495.14, 4,822.70 and 2,097.90 is: 2,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.14 : 4,822.70 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    3,495.14/4,822.70 = 2,097.90/x
  3. Step 3: Cross multiply
    3,495.14x = 4,822.70 × 2,097.90
  4. Step 4: Simplify right side
    3,495.14x = 10,117,542.33
  5. Step 5: Solve for x
    x = 10,117,542.33/3,495.14
  6. Step 6: Final answer
    x = 2,894.75

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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.