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Finding the Fourth Proportional to 2,364.42, 3,520.74 and 2,338.32

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Solution

The fourth proportional to 2,364.42, 3,520.74 and 2,338.32 is: 3,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.42 : 3,520.74 = 2,338.32 : x
  2. Step 2: Convert to fraction form
    2,364.42/3,520.74 = 2,338.32/x
  3. Step 3: Cross multiply
    2,364.42x = 3,520.74 × 2,338.32
  4. Step 4: Simplify right side
    2,364.42x = 8,232,616.76
  5. Step 5: Solve for x
    x = 8,232,616.76/2,364.42
  6. Step 6: Final answer
    x = 3,481.88

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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.