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Finding the Fourth Proportional to 2,454.07, 3,680.75 and 810.63

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Solution

The fourth proportional to 2,454.07, 3,680.75 and 810.63 is: 1,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.07 : 3,680.75 = 810.63 : x
  2. Step 2: Convert to fraction form
    2,454.07/3,680.75 = 810.63/x
  3. Step 3: Cross multiply
    2,454.07x = 3,680.75 × 810.63
  4. Step 4: Simplify right side
    2,454.07x = 2,983,726.37
  5. Step 5: Solve for x
    x = 2,983,726.37/2,454.07
  6. Step 6: Final answer
    x = 1,215.83

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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.