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Finding the Fourth Proportional to 2,233.42, 3,350.19 and 590.02

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Solution

The fourth proportional to 2,233.42, 3,350.19 and 590.02 is: 885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.42 : 3,350.19 = 590.02 : x
  2. Step 2: Convert to fraction form
    2,233.42/3,350.19 = 590.02/x
  3. Step 3: Cross multiply
    2,233.42x = 3,350.19 × 590.02
  4. Step 4: Simplify right side
    2,233.42x = 1,976,679.10
  5. Step 5: Solve for x
    x = 1,976,679.10/2,233.42
  6. Step 6: Final answer
    x = 885.05

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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.