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Finding the Fourth Proportional to 2,454.08, 3,680.80 and 810.23

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Solution

The fourth proportional to 2,454.08, 3,680.80 and 810.23 is: 1,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.08 : 3,680.80 = 810.23 : x
  2. Step 2: Convert to fraction form
    2,454.08/3,680.80 = 810.23/x
  3. Step 3: Cross multiply
    2,454.08x = 3,680.80 × 810.23
  4. Step 4: Simplify right side
    2,454.08x = 2,982,274.15
  5. Step 5: Solve for x
    x = 2,982,274.15/2,454.08
  6. Step 6: Final answer
    x = 1,215.23

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