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Finding the Fourth Proportional to 2,454.55, 3,682.23 and 811.48

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Solution

The fourth proportional to 2,454.55, 3,682.23 and 811.48 is: 1,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.55 : 3,682.23 = 811.48 : x
  2. Step 2: Convert to fraction form
    2,454.55/3,682.23 = 811.48/x
  3. Step 3: Cross multiply
    2,454.55x = 3,682.23 × 811.48
  4. Step 4: Simplify right side
    2,454.55x = 2,988,056.00
  5. Step 5: Solve for x
    x = 2,988,056.00/2,454.55
  6. Step 6: Final answer
    x = 1,217.35

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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.