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Finding the Fourth Proportional to 3,282.65, 4,923.51 and 942.86

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Solution

The fourth proportional to 3,282.65, 4,923.51 and 942.86 is: 1,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.65 : 4,923.51 = 942.86 : x
  2. Step 2: Convert to fraction form
    3,282.65/4,923.51 = 942.86/x
  3. Step 3: Cross multiply
    3,282.65x = 4,923.51 × 942.86
  4. Step 4: Simplify right side
    3,282.65x = 4,642,180.64
  5. Step 5: Solve for x
    x = 4,642,180.64/3,282.65
  6. Step 6: Final answer
    x = 1,414.16

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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.