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Finding the Fourth Proportional to 2,154.42, 3,231.03 and 594.05

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Solution

The fourth proportional to 2,154.42, 3,231.03 and 594.05 is: 890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.42 : 3,231.03 = 594.05 : x
  2. Step 2: Convert to fraction form
    2,154.42/3,231.03 = 594.05/x
  3. Step 3: Cross multiply
    2,154.42x = 3,231.03 × 594.05
  4. Step 4: Simplify right side
    2,154.42x = 1,919,393.37
  5. Step 5: Solve for x
    x = 1,919,393.37/2,154.42
  6. Step 6: Final answer
    x = 890.91

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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.