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Finding the Fourth Proportional to 2,277.72, 3,156.71 and 2,243.16

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Solution

The fourth proportional to 2,277.72, 3,156.71 and 2,243.16 is: 3,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.72 : 3,156.71 = 2,243.16 : x
  2. Step 2: Convert to fraction form
    2,277.72/3,156.71 = 2,243.16/x
  3. Step 3: Cross multiply
    2,277.72x = 3,156.71 × 2,243.16
  4. Step 4: Simplify right side
    2,277.72x = 7,080,994.39
  5. Step 5: Solve for x
    x = 7,080,994.39/2,277.72
  6. Step 6: Final answer
    x = 3,108.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.