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Finding the Fourth Proportional to 4,142.63, 6,213.95 and 1,220.85

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Solution

The fourth proportional to 4,142.63, 6,213.95 and 1,220.85 is: 1,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.63 : 6,213.95 = 1,220.85 : x
  2. Step 2: Convert to fraction form
    4,142.63/6,213.95 = 1,220.85/x
  3. Step 3: Cross multiply
    4,142.63x = 6,213.95 × 1,220.85
  4. Step 4: Simplify right side
    4,142.63x = 7,586,294.75
  5. Step 5: Solve for x
    x = 7,586,294.75/4,142.63
  6. Step 6: Final answer
    x = 1,831.28

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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.