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Finding the Fourth Proportional to 2,463.83, 3,693.01 and 1,162.56

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Solution

The fourth proportional to 2,463.83, 3,693.01 and 1,162.56 is: 1,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.83 : 3,693.01 = 1,162.56 : x
  2. Step 2: Convert to fraction form
    2,463.83/3,693.01 = 1,162.56/x
  3. Step 3: Cross multiply
    2,463.83x = 3,693.01 × 1,162.56
  4. Step 4: Simplify right side
    2,463.83x = 4,293,345.71
  5. Step 5: Solve for x
    x = 4,293,345.71/2,463.83
  6. Step 6: Final answer
    x = 1,742.55

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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.