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Finding the Fourth Proportional to 2,097.72, 3,145.26 and 797.76

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Solution

The fourth proportional to 2,097.72, 3,145.26 and 797.76 is: 1,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.72 : 3,145.26 = 797.76 : x
  2. Step 2: Convert to fraction form
    2,097.72/3,145.26 = 797.76/x
  3. Step 3: Cross multiply
    2,097.72x = 3,145.26 × 797.76
  4. Step 4: Simplify right side
    2,097.72x = 2,509,162.62
  5. Step 5: Solve for x
    x = 2,509,162.62/2,097.72
  6. Step 6: Final answer
    x = 1,196.14

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1.5x scale

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.