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Finding the Fourth Proportional to 3,010.94, 4,154.60 and 1,684.44

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Solution

The fourth proportional to 3,010.94, 4,154.60 and 1,684.44 is: 2,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.94 : 4,154.60 = 1,684.44 : x
  2. Step 2: Convert to fraction form
    3,010.94/4,154.60 = 1,684.44/x
  3. Step 3: Cross multiply
    3,010.94x = 4,154.60 × 1,684.44
  4. Step 4: Simplify right side
    3,010.94x = 6,998,174.42
  5. Step 5: Solve for x
    x = 6,998,174.42/3,010.94
  6. Step 6: Final answer
    x = 2,324.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.