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Finding the Fourth Proportional to 2,278.36, 3,165.79 and 2,251

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Solution

The fourth proportional to 2,278.36, 3,165.79 and 2,251 is: 3,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.36 : 3,165.79 = 2,251 : x
  2. Step 2: Convert to fraction form
    2,278.36/3,165.79 = 2,251/x
  3. Step 3: Cross multiply
    2,278.36x = 3,165.79 × 2,251
  4. Step 4: Simplify right side
    2,278.36x = 7,126,193.29
  5. Step 5: Solve for x
    x = 7,126,193.29/2,278.36
  6. Step 6: Final answer
    x = 3,127.77

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