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Finding the Fourth Proportional to 2,274.85, 3,138.32 and 1,390.17

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Solution

The fourth proportional to 2,274.85, 3,138.32 and 1,390.17 is: 1,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.85 : 3,138.32 = 1,390.17 : x
  2. Step 2: Convert to fraction form
    2,274.85/3,138.32 = 1,390.17/x
  3. Step 3: Cross multiply
    2,274.85x = 3,138.32 × 1,390.17
  4. Step 4: Simplify right side
    2,274.85x = 4,362,813.56
  5. Step 5: Solve for x
    x = 4,362,813.56/2,274.85
  6. Step 6: Final answer
    x = 1,917.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.