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Finding the Fourth Proportional to 2,359.73, 3,256.45 and 1,463.62

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Solution

The fourth proportional to 2,359.73, 3,256.45 and 1,463.62 is: 2,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.73 : 3,256.45 = 1,463.62 : x
  2. Step 2: Convert to fraction form
    2,359.73/3,256.45 = 1,463.62/x
  3. Step 3: Cross multiply
    2,359.73x = 3,256.45 × 1,463.62
  4. Step 4: Simplify right side
    2,359.73x = 4,766,207.89
  5. Step 5: Solve for x
    x = 4,766,207.89/2,359.73
  6. Step 6: Final answer
    x = 2,019.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.