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Finding the Fourth Proportional to 2,350.42, 3,523.71 and 888.82

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Solution

The fourth proportional to 2,350.42, 3,523.71 and 888.82 is: 1,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.42 : 3,523.71 = 888.82 : x
  2. Step 2: Convert to fraction form
    2,350.42/3,523.71 = 888.82/x
  3. Step 3: Cross multiply
    2,350.42x = 3,523.71 × 888.82
  4. Step 4: Simplify right side
    2,350.42x = 3,131,943.92
  5. Step 5: Solve for x
    x = 3,131,943.92/2,350.42
  6. Step 6: Final answer
    x = 1,332.50

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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.