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Finding the Fourth Proportional to 2,313, 3,454.73 and 2,093.28

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Solution

The fourth proportional to 2,313, 3,454.73 and 2,093.28 is: 3,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313 : 3,454.73 = 2,093.28 : x
  2. Step 2: Convert to fraction form
    2,313/3,454.73 = 2,093.28/x
  3. Step 3: Cross multiply
    2,313x = 3,454.73 × 2,093.28
  4. Step 4: Simplify right side
    2,313x = 7,231,706.75
  5. Step 5: Solve for x
    x = 7,231,706.75/2,313
  6. Step 6: Final answer
    x = 3,126.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.