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Finding the Fourth Proportional to 4,510.96, 6,766.85 and 1,224.07

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Solution

The fourth proportional to 4,510.96, 6,766.85 and 1,224.07 is: 1,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.96 : 6,766.85 = 1,224.07 : x
  2. Step 2: Convert to fraction form
    4,510.96/6,766.85 = 1,224.07/x
  3. Step 3: Cross multiply
    4,510.96x = 6,766.85 × 1,224.07
  4. Step 4: Simplify right side
    4,510.96x = 8,283,098.08
  5. Step 5: Solve for x
    x = 8,283,098.08/4,510.96
  6. Step 6: Final answer
    x = 1,836.22

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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.