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Finding the Fourth Proportional to 1,815.78, 2,724.72 and 841.83

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Solution

The fourth proportional to 1,815.78, 2,724.72 and 841.83 is: 1,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.78 : 2,724.72 = 841.83 : x
  2. Step 2: Convert to fraction form
    1,815.78/2,724.72 = 841.83/x
  3. Step 3: Cross multiply
    1,815.78x = 2,724.72 × 841.83
  4. Step 4: Simplify right side
    1,815.78x = 2,293,751.04
  5. Step 5: Solve for x
    x = 2,293,751.04/1,815.78
  6. Step 6: Final answer
    x = 1,263.23

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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.