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Finding the Fourth Proportional to 2,866.53, 4,300.34 and 1,223.04

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Solution

The fourth proportional to 2,866.53, 4,300.34 and 1,223.04 is: 1,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.53 : 4,300.34 = 1,223.04 : x
  2. Step 2: Convert to fraction form
    2,866.53/4,300.34 = 1,223.04/x
  3. Step 3: Cross multiply
    2,866.53x = 4,300.34 × 1,223.04
  4. Step 4: Simplify right side
    2,866.53x = 5,259,481.72
  5. Step 5: Solve for x
    x = 5,259,481.72/2,866.53
  6. Step 6: Final answer
    x = 1,834.79

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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.