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Finding the Fourth Proportional to 3,010.81, 4,154.73 and 1,684.61

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Solution

The fourth proportional to 3,010.81, 4,154.73 and 1,684.61 is: 2,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.81 : 4,154.73 = 1,684.61 : x
  2. Step 2: Convert to fraction form
    3,010.81/4,154.73 = 1,684.61/x
  3. Step 3: Cross multiply
    3,010.81x = 4,154.73 × 1,684.61
  4. Step 4: Simplify right side
    3,010.81x = 6,999,099.71
  5. Step 5: Solve for x
    x = 6,999,099.71/3,010.81
  6. Step 6: Final answer
    x = 2,324.66

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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.