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Finding the Fourth Proportional to 2,150.39, 3,225.67 and 590.35

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Solution

The fourth proportional to 2,150.39, 3,225.67 and 590.35 is: 885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.39 : 3,225.67 = 590.35 : x
  2. Step 2: Convert to fraction form
    2,150.39/3,225.67 = 590.35/x
  3. Step 3: Cross multiply
    2,150.39x = 3,225.67 × 590.35
  4. Step 4: Simplify right side
    2,150.39x = 1,904,274.28
  5. Step 5: Solve for x
    x = 1,904,274.28/2,150.39
  6. Step 6: Final answer
    x = 885.55

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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.