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Finding the Fourth Proportional to 2,151.32, 3,226.98 and 612.32

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Solution

The fourth proportional to 2,151.32, 3,226.98 and 612.32 is: 918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.32 : 3,226.98 = 612.32 : x
  2. Step 2: Convert to fraction form
    2,151.32/3,226.98 = 612.32/x
  3. Step 3: Cross multiply
    2,151.32x = 3,226.98 × 612.32
  4. Step 4: Simplify right side
    2,151.32x = 1,975,944.39
  5. Step 5: Solve for x
    x = 1,975,944.39/2,151.32
  6. Step 6: Final answer
    x = 918.48

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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.