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Finding the Fourth Proportional to 2,351.88, 3,524.76 and 964.80

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Solution

The fourth proportional to 2,351.88, 3,524.76 and 964.80 is: 1,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.88 : 3,524.76 = 964.80 : x
  2. Step 2: Convert to fraction form
    2,351.88/3,524.76 = 964.80/x
  3. Step 3: Cross multiply
    2,351.88x = 3,524.76 × 964.80
  4. Step 4: Simplify right side
    2,351.88x = 3,400,688.45
  5. Step 5: Solve for x
    x = 3,400,688.45/2,351.88
  6. Step 6: Final answer
    x = 1,445.94

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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.