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Finding the Fourth Proportional to 3,010.78, 4,155.08 and 1,684.41

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Solution

The fourth proportional to 3,010.78, 4,155.08 and 1,684.41 is: 2,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.78 : 4,155.08 = 1,684.41 : x
  2. Step 2: Convert to fraction form
    3,010.78/4,155.08 = 1,684.41/x
  3. Step 3: Cross multiply
    3,010.78x = 4,155.08 × 1,684.41
  4. Step 4: Simplify right side
    3,010.78x = 6,998,858.30
  5. Step 5: Solve for x
    x = 6,998,858.30/3,010.78
  6. Step 6: Final answer
    x = 2,324.60

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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.