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Finding the Fourth Proportional to 2,396.71, 3,595.11 and 1,097.92

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Solution

The fourth proportional to 2,396.71, 3,595.11 and 1,097.92 is: 1,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.71 : 3,595.11 = 1,097.92 : x
  2. Step 2: Convert to fraction form
    2,396.71/3,595.11 = 1,097.92/x
  3. Step 3: Cross multiply
    2,396.71x = 3,595.11 × 1,097.92
  4. Step 4: Simplify right side
    2,396.71x = 3,947,143.17
  5. Step 5: Solve for x
    x = 3,947,143.17/2,396.71
  6. Step 6: Final answer
    x = 1,646.90

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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.