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Finding the Fourth Proportional to 2,097.23, 3,145.82 and 636.32

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Solution

The fourth proportional to 2,097.23, 3,145.82 and 636.32 is: 954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.23 : 3,145.82 = 636.32 : x
  2. Step 2: Convert to fraction form
    2,097.23/3,145.82 = 636.32/x
  3. Step 3: Cross multiply
    2,097.23x = 3,145.82 × 636.32
  4. Step 4: Simplify right side
    2,097.23x = 2,001,752.87
  5. Step 5: Solve for x
    x = 2,001,752.87/2,097.23
  6. Step 6: Final answer
    x = 954.48

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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.