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Finding the Fourth Proportional to 2,865.70, 4,299 and 1,222.25

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Solution

The fourth proportional to 2,865.70, 4,299 and 1,222.25 is: 1,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.70 : 4,299 = 1,222.25 : x
  2. Step 2: Convert to fraction form
    2,865.70/4,299 = 1,222.25/x
  3. Step 3: Cross multiply
    2,865.70x = 4,299 × 1,222.25
  4. Step 4: Simplify right side
    2,865.70x = 5,254,452.75
  5. Step 5: Solve for x
    x = 5,254,452.75/2,865.70
  6. Step 6: Final answer
    x = 1,833.57

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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.