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Finding the Fourth Proportional to 3,334.14, 4,601.04 and 1,842

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Solution

The fourth proportional to 3,334.14, 4,601.04 and 1,842 is: 2,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.14 : 4,601.04 = 1,842 : x
  2. Step 2: Convert to fraction form
    3,334.14/4,601.04 = 1,842/x
  3. Step 3: Cross multiply
    3,334.14x = 4,601.04 × 1,842
  4. Step 4: Simplify right side
    3,334.14x = 8,475,115.68
  5. Step 5: Solve for x
    x = 8,475,115.68/3,334.14
  6. Step 6: Final answer
    x = 2,541.92

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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.