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Finding the Fourth Proportional to 3,142.09, 4,334.09 and 2,024.49

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Solution

The fourth proportional to 3,142.09, 4,334.09 and 2,024.49 is: 2,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.09 : 4,334.09 = 2,024.49 : x
  2. Step 2: Convert to fraction form
    3,142.09/4,334.09 = 2,024.49/x
  3. Step 3: Cross multiply
    3,142.09x = 4,334.09 × 2,024.49
  4. Step 4: Simplify right side
    3,142.09x = 8,774,321.86
  5. Step 5: Solve for x
    x = 8,774,321.86/3,142.09
  6. Step 6: Final answer
    x = 2,792.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.