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Finding the Fourth Proportional to 3,364.65, 4,642.25 and 2,039.49

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Solution

The fourth proportional to 3,364.65, 4,642.25 and 2,039.49 is: 2,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.65 : 4,642.25 = 2,039.49 : x
  2. Step 2: Convert to fraction form
    3,364.65/4,642.25 = 2,039.49/x
  3. Step 3: Cross multiply
    3,364.65x = 4,642.25 × 2,039.49
  4. Step 4: Simplify right side
    3,364.65x = 9,467,812.26
  5. Step 5: Solve for x
    x = 9,467,812.26/3,364.65
  6. Step 6: Final answer
    x = 2,813.91

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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.