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Finding the Fourth Proportional to 2,269.84, 3,398.07 and 2,213.95

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Solution

The fourth proportional to 2,269.84, 3,398.07 and 2,213.95 is: 3,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.84 : 3,398.07 = 2,213.95 : x
  2. Step 2: Convert to fraction form
    2,269.84/3,398.07 = 2,213.95/x
  3. Step 3: Cross multiply
    2,269.84x = 3,398.07 × 2,213.95
  4. Step 4: Simplify right side
    2,269.84x = 7,523,157.08
  5. Step 5: Solve for x
    x = 7,523,157.08/2,269.84
  6. Step 6: Final answer
    x = 3,314.40

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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.