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Finding the Fourth Proportional to 2,233.43, 3,349.76 and 590.00

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Solution

The fourth proportional to 2,233.43, 3,349.76 and 590.00 is: 884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.43 : 3,349.76 = 590.00 : x
  2. Step 2: Convert to fraction form
    2,233.43/3,349.76 = 590.00/x
  3. Step 3: Cross multiply
    2,233.43x = 3,349.76 × 590.00
  4. Step 4: Simplify right side
    2,233.43x = 1,976,338.70
  5. Step 5: Solve for x
    x = 1,976,338.70/2,233.43
  6. Step 6: Final answer
    x = 884.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.