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Finding the Fourth Proportional to 1,823.70, 2,734.23 and 590.43

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Solution

The fourth proportional to 1,823.70, 2,734.23 and 590.43 is: 885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.70 : 2,734.23 = 590.43 : x
  2. Step 2: Convert to fraction form
    1,823.70/2,734.23 = 590.43/x
  3. Step 3: Cross multiply
    1,823.70x = 2,734.23 × 590.43
  4. Step 4: Simplify right side
    1,823.70x = 1,614,371.42
  5. Step 5: Solve for x
    x = 1,614,371.42/1,823.70
  6. Step 6: Final answer
    x = 885.22

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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.