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Finding the Fourth Proportional to 3,010.54, 4,154.43 and 1,684.21

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Solution

The fourth proportional to 3,010.54, 4,154.43 and 1,684.21 is: 2,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.54 : 4,154.43 = 1,684.21 : x
  2. Step 2: Convert to fraction form
    3,010.54/4,154.43 = 1,684.21/x
  3. Step 3: Cross multiply
    3,010.54x = 4,154.43 × 1,684.21
  4. Step 4: Simplify right side
    3,010.54x = 6,996,932.55
  5. Step 5: Solve for x
    x = 6,996,932.55/3,010.54
  6. Step 6: Final answer
    x = 2,324.15

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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.