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Finding the Fourth Proportional to 2,097.10, 3,145.81 and 636.37

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Solution

The fourth proportional to 2,097.10, 3,145.81 and 636.37 is: 954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.10 : 3,145.81 = 636.37 : x
  2. Step 2: Convert to fraction form
    2,097.10/3,145.81 = 636.37/x
  3. Step 3: Cross multiply
    2,097.10x = 3,145.81 × 636.37
  4. Step 4: Simplify right side
    2,097.10x = 2,001,899.11
  5. Step 5: Solve for x
    x = 2,001,899.11/2,097.10
  6. Step 6: Final answer
    x = 954.60

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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.