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Finding the Fourth Proportional to 2,454.75, 3,682.76 and 723.38

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Solution

The fourth proportional to 2,454.75, 3,682.76 and 723.38 is: 1,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.75 : 3,682.76 = 723.38 : x
  2. Step 2: Convert to fraction form
    2,454.75/3,682.76 = 723.38/x
  3. Step 3: Cross multiply
    2,454.75x = 3,682.76 × 723.38
  4. Step 4: Simplify right side
    2,454.75x = 2,664,012.90
  5. Step 5: Solve for x
    x = 2,664,012.90/2,454.75
  6. Step 6: Final answer
    x = 1,085.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.