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Finding the Fourth Proportional to 3,364.65, 4,641.93 and 2,105.19

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Solution

The fourth proportional to 3,364.65, 4,641.93 and 2,105.19 is: 2,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.65 : 4,641.93 = 2,105.19 : x
  2. Step 2: Convert to fraction form
    3,364.65/4,641.93 = 2,105.19/x
  3. Step 3: Cross multiply
    3,364.65x = 4,641.93 × 2,105.19
  4. Step 4: Simplify right side
    3,364.65x = 9,772,144.62
  5. Step 5: Solve for x
    x = 9,772,144.62/3,364.65
  6. Step 6: Final answer
    x = 2,904.36

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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.