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Finding the Fourth Proportional to 2,454.57, 3,682.49 and 723.21

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Solution

The fourth proportional to 2,454.57, 3,682.49 and 723.21 is: 1,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.57 : 3,682.49 = 723.21 : x
  2. Step 2: Convert to fraction form
    2,454.57/3,682.49 = 723.21/x
  3. Step 3: Cross multiply
    2,454.57x = 3,682.49 × 723.21
  4. Step 4: Simplify right side
    2,454.57x = 2,663,209.98
  5. Step 5: Solve for x
    x = 2,663,209.98/2,454.57
  6. Step 6: Final answer
    x = 1,085.00

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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.