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Finding the Fourth Proportional to 3,010.72, 4,154.94 and 1,684.36

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Solution

The fourth proportional to 3,010.72, 4,154.94 and 1,684.36 is: 2,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.72 : 4,154.94 = 1,684.36 : x
  2. Step 2: Convert to fraction form
    3,010.72/4,154.94 = 1,684.36/x
  3. Step 3: Cross multiply
    3,010.72x = 4,154.94 × 1,684.36
  4. Step 4: Simplify right side
    3,010.72x = 6,998,414.74
  5. Step 5: Solve for x
    x = 6,998,414.74/3,010.72
  6. Step 6: Final answer
    x = 2,324.50

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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.