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Finding the Fourth Proportional to 2,322.33, 3,483.62 and 935.65

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Solution

The fourth proportional to 2,322.33, 3,483.62 and 935.65 is: 1,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.33 : 3,483.62 = 935.65 : x
  2. Step 2: Convert to fraction form
    2,322.33/3,483.62 = 935.65/x
  3. Step 3: Cross multiply
    2,322.33x = 3,483.62 × 935.65
  4. Step 4: Simplify right side
    2,322.33x = 3,259,449.05
  5. Step 5: Solve for x
    x = 3,259,449.05/2,322.33
  6. Step 6: Final answer
    x = 1,403.53

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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.