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Finding the Fourth Proportional to 2,809.46, 3,878.30 and 1,815.23

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Solution

The fourth proportional to 2,809.46, 3,878.30 and 1,815.23 is: 2,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.46 : 3,878.30 = 1,815.23 : x
  2. Step 2: Convert to fraction form
    2,809.46/3,878.30 = 1,815.23/x
  3. Step 3: Cross multiply
    2,809.46x = 3,878.30 × 1,815.23
  4. Step 4: Simplify right side
    2,809.46x = 7,039,987.12
  5. Step 5: Solve for x
    x = 7,039,987.12/2,809.46
  6. Step 6: Final answer
    x = 2,505.81

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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.