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Finding the Fourth Proportional to 3,287.65, 4,931.49 and 822.46

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Solution

The fourth proportional to 3,287.65, 4,931.49 and 822.46 is: 1,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.65 : 4,931.49 = 822.46 : x
  2. Step 2: Convert to fraction form
    3,287.65/4,931.49 = 822.46/x
  3. Step 3: Cross multiply
    3,287.65x = 4,931.49 × 822.46
  4. Step 4: Simplify right side
    3,287.65x = 4,055,950.08
  5. Step 5: Solve for x
    x = 4,055,950.08/3,287.65
  6. Step 6: Final answer
    x = 1,233.69

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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.