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Finding the Fourth Proportional to 3,344.13, 4,614.93 and 1,928.25

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Solution

The fourth proportional to 3,344.13, 4,614.93 and 1,928.25 is: 2,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.13 : 4,614.93 = 1,928.25 : x
  2. Step 2: Convert to fraction form
    3,344.13/4,614.93 = 1,928.25/x
  3. Step 3: Cross multiply
    3,344.13x = 4,614.93 × 1,928.25
  4. Step 4: Simplify right side
    3,344.13x = 8,898,738.77
  5. Step 5: Solve for x
    x = 8,898,738.77/3,344.13
  6. Step 6: Final answer
    x = 2,661.00

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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.