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Finding the Fourth Proportional to 2,463.09, 3,695.34 and 820.71

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Solution

The fourth proportional to 2,463.09, 3,695.34 and 820.71 is: 1,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.09 : 3,695.34 = 820.71 : x
  2. Step 2: Convert to fraction form
    2,463.09/3,695.34 = 820.71/x
  3. Step 3: Cross multiply
    2,463.09x = 3,695.34 × 820.71
  4. Step 4: Simplify right side
    2,463.09x = 3,032,802.49
  5. Step 5: Solve for x
    x = 3,032,802.49/2,463.09
  6. Step 6: Final answer
    x = 1,231.30

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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.