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Finding the Fourth Proportional to 2,334.24, 3,482.24 and 2,270.68

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Solution

The fourth proportional to 2,334.24, 3,482.24 and 2,270.68 is: 3,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.24 : 3,482.24 = 2,270.68 : x
  2. Step 2: Convert to fraction form
    2,334.24/3,482.24 = 2,270.68/x
  3. Step 3: Cross multiply
    2,334.24x = 3,482.24 × 2,270.68
  4. Step 4: Simplify right side
    2,334.24x = 7,907,065.02
  5. Step 5: Solve for x
    x = 7,907,065.02/2,334.24
  6. Step 6: Final answer
    x = 3,387.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.