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Finding the Fourth Proportional to 1,818.14, 2,727.74 and 585.52

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Solution

The fourth proportional to 1,818.14, 2,727.74 and 585.52 is: 878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.14 : 2,727.74 = 585.52 : x
  2. Step 2: Convert to fraction form
    1,818.14/2,727.74 = 585.52/x
  3. Step 3: Cross multiply
    1,818.14x = 2,727.74 × 585.52
  4. Step 4: Simplify right side
    1,818.14x = 1,597,136.58
  5. Step 5: Solve for x
    x = 1,597,136.58/1,818.14
  6. Step 6: Final answer
    x = 878.45

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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.