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Finding the Fourth Proportional to 1,222.61, 1,834.32 and 813.36

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Solution

The fourth proportional to 1,222.61, 1,834.32 and 813.36 is: 1,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.61 : 1,834.32 = 813.36 : x
  2. Step 2: Convert to fraction form
    1,222.61/1,834.32 = 813.36/x
  3. Step 3: Cross multiply
    1,222.61x = 1,834.32 × 813.36
  4. Step 4: Simplify right side
    1,222.61x = 1,491,962.52
  5. Step 5: Solve for x
    x = 1,491,962.52/1,222.61
  6. Step 6: Final answer
    x = 1,220.31

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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.