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Finding the Fourth Proportional to 3,010.33, 4,154.43 and 1,684

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Solution

The fourth proportional to 3,010.33, 4,154.43 and 1,684 is: 2,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.33 : 4,154.43 = 1,684 : x
  2. Step 2: Convert to fraction form
    3,010.33/4,154.43 = 1,684/x
  3. Step 3: Cross multiply
    3,010.33x = 4,154.43 × 1,684
  4. Step 4: Simplify right side
    3,010.33x = 6,996,060.12
  5. Step 5: Solve for x
    x = 6,996,060.12/3,010.33
  6. Step 6: Final answer
    x = 2,324.02

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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.