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Finding the Fourth Proportional to 2,150.30, 3,225.46 and 590.33

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Solution

The fourth proportional to 2,150.30, 3,225.46 and 590.33 is: 885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.30 : 3,225.46 = 590.33 : x
  2. Step 2: Convert to fraction form
    2,150.30/3,225.46 = 590.33/x
  3. Step 3: Cross multiply
    2,150.30x = 3,225.46 × 590.33
  4. Step 4: Simplify right side
    2,150.30x = 1,904,069.67
  5. Step 5: Solve for x
    x = 1,904,069.67/2,150.30
  6. Step 6: Final answer
    x = 885.49

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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.