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Finding the Fourth Proportional to 1,823.34, 2,734.52 and 590.48

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Solution

The fourth proportional to 1,823.34, 2,734.52 and 590.48 is: 885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.34 : 2,734.52 = 590.48 : x
  2. Step 2: Convert to fraction form
    1,823.34/2,734.52 = 590.48/x
  3. Step 3: Cross multiply
    1,823.34x = 2,734.52 × 590.48
  4. Step 4: Simplify right side
    1,823.34x = 1,614,679.37
  5. Step 5: Solve for x
    x = 1,614,679.37/1,823.34
  6. Step 6: Final answer
    x = 885.56

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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.