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Finding the Fourth Proportional to 3,010.70, 4,154.87 and 1,684.53

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Solution

The fourth proportional to 3,010.70, 4,154.87 and 1,684.53 is: 2,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.70 : 4,154.87 = 1,684.53 : x
  2. Step 2: Convert to fraction form
    3,010.70/4,154.87 = 1,684.53/x
  3. Step 3: Cross multiply
    3,010.70x = 4,154.87 × 1,684.53
  4. Step 4: Simplify right side
    3,010.70x = 6,999,007.37
  5. Step 5: Solve for x
    x = 6,999,007.37/3,010.70
  6. Step 6: Final answer
    x = 2,324.71

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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.