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Finding the Fourth Proportional to 2,094.65, 3,141.98 and 633.81

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Solution

The fourth proportional to 2,094.65, 3,141.98 and 633.81 is: 950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.65 : 3,141.98 = 633.81 : x
  2. Step 2: Convert to fraction form
    2,094.65/3,141.98 = 633.81/x
  3. Step 3: Cross multiply
    2,094.65x = 3,141.98 × 633.81
  4. Step 4: Simplify right side
    2,094.65x = 1,991,429.33
  5. Step 5: Solve for x
    x = 1,991,429.33/2,094.65
  6. Step 6: Final answer
    x = 950.72

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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.