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Finding the Fourth Proportional to 2,336.42, 3,505.32 and 950.76

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Solution

The fourth proportional to 2,336.42, 3,505.32 and 950.76 is: 1,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.42 : 3,505.32 = 950.76 : x
  2. Step 2: Convert to fraction form
    2,336.42/3,505.32 = 950.76/x
  3. Step 3: Cross multiply
    2,336.42x = 3,505.32 × 950.76
  4. Step 4: Simplify right side
    2,336.42x = 3,332,718.04
  5. Step 5: Solve for x
    x = 3,332,718.04/2,336.42
  6. Step 6: Final answer
    x = 1,426.42

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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.