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Finding the Fourth Proportional to 2,233.76, 3,350.35 and 590.43

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Solution

The fourth proportional to 2,233.76, 3,350.35 and 590.43 is: 885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.76 : 3,350.35 = 590.43 : x
  2. Step 2: Convert to fraction form
    2,233.76/3,350.35 = 590.43/x
  3. Step 3: Cross multiply
    2,233.76x = 3,350.35 × 590.43
  4. Step 4: Simplify right side
    2,233.76x = 1,978,159.13
  5. Step 5: Solve for x
    x = 1,978,159.13/2,233.76
  6. Step 6: Final answer
    x = 885.57

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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.