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Finding the Fourth Proportional to 1,618.40, 2,198 and 1,618.40

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Solution

The fourth proportional to 1,618.40, 2,198 and 1,618.40 is: 2,198

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.40 : 2,198 = 1,618.40 : x
  2. Step 2: Convert to fraction form
    1,618.40/2,198 = 1,618.40/x
  3. Step 3: Cross multiply
    1,618.40x = 2,198 × 1,618.40
  4. Step 4: Simplify right side
    1,618.40x = 3,557,243.20
  5. Step 5: Solve for x
    x = 3,557,243.20/1,618.40
  6. Step 6: Final answer
    x = 2,198

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.