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Finding the Fourth Proportional to 1,651.86, 2,478.31 and 481.93

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Solution

The fourth proportional to 1,651.86, 2,478.31 and 481.93 is: 723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.86 : 2,478.31 = 481.93 : x
  2. Step 2: Convert to fraction form
    1,651.86/2,478.31 = 481.93/x
  3. Step 3: Cross multiply
    1,651.86x = 2,478.31 × 481.93
  4. Step 4: Simplify right side
    1,651.86x = 1,194,371.94
  5. Step 5: Solve for x
    x = 1,194,371.94/1,651.86
  6. Step 6: Final answer
    x = 723.05

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Why These Related Problems?

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