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Finding the Fourth Proportional to 2,097.24, 3,145.80 and 636.40

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Solution

The fourth proportional to 2,097.24, 3,145.80 and 636.40 is: 954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.24 : 3,145.80 = 636.40 : x
  2. Step 2: Convert to fraction form
    2,097.24/3,145.80 = 636.40/x
  3. Step 3: Cross multiply
    2,097.24x = 3,145.80 × 636.40
  4. Step 4: Simplify right side
    2,097.24x = 2,001,987.12
  5. Step 5: Solve for x
    x = 2,001,987.12/2,097.24
  6. Step 6: Final answer
    x = 954.58

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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.