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Finding the Fourth Proportional to 2,844.51, 4,267.57 and 2,065.29

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Solution

The fourth proportional to 2,844.51, 4,267.57 and 2,065.29 is: 3,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.51 : 4,267.57 = 2,065.29 : x
  2. Step 2: Convert to fraction form
    2,844.51/4,267.57 = 2,065.29/x
  3. Step 3: Cross multiply
    2,844.51x = 4,267.57 × 2,065.29
  4. Step 4: Simplify right side
    2,844.51x = 8,813,769.65
  5. Step 5: Solve for x
    x = 8,813,769.65/2,844.51
  6. Step 6: Final answer
    x = 3,098.52

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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.