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Finding the Fourth Proportional to 1,816.74, 2,729.82 and 1,586.22

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Solution

The fourth proportional to 1,816.74, 2,729.82 and 1,586.22 is: 2,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.74 : 2,729.82 = 1,586.22 : x
  2. Step 2: Convert to fraction form
    1,816.74/2,729.82 = 1,586.22/x
  3. Step 3: Cross multiply
    1,816.74x = 2,729.82 × 1,586.22
  4. Step 4: Simplify right side
    1,816.74x = 4,330,095.08
  5. Step 5: Solve for x
    x = 4,330,095.08/1,816.74
  6. Step 6: Final answer
    x = 2,383.44

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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.