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Finding the Fourth Proportional to 2,033.09, 3,048.11 and 862.13

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Solution

The fourth proportional to 2,033.09, 3,048.11 and 862.13 is: 1,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.09 : 3,048.11 = 862.13 : x
  2. Step 2: Convert to fraction form
    2,033.09/3,048.11 = 862.13/x
  3. Step 3: Cross multiply
    2,033.09x = 3,048.11 × 862.13
  4. Step 4: Simplify right side
    2,033.09x = 2,627,867.07
  5. Step 5: Solve for x
    x = 2,627,867.07/2,033.09
  6. Step 6: Final answer
    x = 1,292.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.