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Finding the Fourth Proportional to 1,225.66, 1,836.17 and 950.41

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Solution

The fourth proportional to 1,225.66, 1,836.17 and 950.41 is: 1,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.66 : 1,836.17 = 950.41 : x
  2. Step 2: Convert to fraction form
    1,225.66/1,836.17 = 950.41/x
  3. Step 3: Cross multiply
    1,225.66x = 1,836.17 × 950.41
  4. Step 4: Simplify right side
    1,225.66x = 1,745,105.15
  5. Step 5: Solve for x
    x = 1,745,105.15/1,225.66
  6. Step 6: Final answer
    x = 1,423.81

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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.