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Finding the Fourth Proportional to 2,151.96, 3,223.71 and 1,224.69

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Solution

The fourth proportional to 2,151.96, 3,223.71 and 1,224.69 is: 1,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.96 : 3,223.71 = 1,224.69 : x
  2. Step 2: Convert to fraction form
    2,151.96/3,223.71 = 1,224.69/x
  3. Step 3: Cross multiply
    2,151.96x = 3,223.71 × 1,224.69
  4. Step 4: Simplify right side
    2,151.96x = 3,948,045.40
  5. Step 5: Solve for x
    x = 3,948,045.40/2,151.96
  6. Step 6: Final answer
    x = 1,834.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.