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Finding the Fourth Proportional to 2,151.93, 3,227.93 and 612.93

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Solution

The fourth proportional to 2,151.93, 3,227.93 and 612.93 is: 919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.93 : 3,227.93 = 612.93 : x
  2. Step 2: Convert to fraction form
    2,151.93/3,227.93 = 612.93/x
  3. Step 3: Cross multiply
    2,151.93x = 3,227.93 × 612.93
  4. Step 4: Simplify right side
    2,151.93x = 1,978,495.13
  5. Step 5: Solve for x
    x = 1,978,495.13/2,151.93
  6. Step 6: Final answer
    x = 919.40

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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.