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Finding the Fourth Proportional to 2,454.86, 3,679.88 and 810.30

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Solution

The fourth proportional to 2,454.86, 3,679.88 and 810.30 is: 1,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.86 : 3,679.88 = 810.30 : x
  2. Step 2: Convert to fraction form
    2,454.86/3,679.88 = 810.30/x
  3. Step 3: Cross multiply
    2,454.86x = 3,679.88 × 810.30
  4. Step 4: Simplify right side
    2,454.86x = 2,981,821.07
  5. Step 5: Solve for x
    x = 2,981,821.07/2,454.86
  6. Step 6: Final answer
    x = 1,214.66

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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.