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Finding the Fourth Proportional to 3,364.86, 4,641.19 and 2,019.55

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Solution

The fourth proportional to 3,364.86, 4,641.19 and 2,019.55 is: 2,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.86 : 4,641.19 = 2,019.55 : x
  2. Step 2: Convert to fraction form
    3,364.86/4,641.19 = 2,019.55/x
  3. Step 3: Cross multiply
    3,364.86x = 4,641.19 × 2,019.55
  4. Step 4: Simplify right side
    3,364.86x = 9,373,115.26
  5. Step 5: Solve for x
    x = 9,373,115.26/3,364.86
  6. Step 6: Final answer
    x = 2,785.59

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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.