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Finding the Fourth Proportional to 2,277.36, 3,164.40 and 2,250

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Solution

The fourth proportional to 2,277.36, 3,164.40 and 2,250 is: 3,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.36 : 3,164.40 = 2,250 : x
  2. Step 2: Convert to fraction form
    2,277.36/3,164.40 = 2,250/x
  3. Step 3: Cross multiply
    2,277.36x = 3,164.40 × 2,250
  4. Step 4: Simplify right side
    2,277.36x = 7,119,900
  5. Step 5: Solve for x
    x = 7,119,900/2,277.36
  6. Step 6: Final answer
    x = 3,126.38

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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.