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Finding the Fourth Proportional to 3,010.70, 4,154.63 and 1,684.40

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Solution

The fourth proportional to 3,010.70, 4,154.63 and 1,684.40 is: 2,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.70 : 4,154.63 = 1,684.40 : x
  2. Step 2: Convert to fraction form
    3,010.70/4,154.63 = 1,684.40/x
  3. Step 3: Cross multiply
    3,010.70x = 4,154.63 × 1,684.40
  4. Step 4: Simplify right side
    3,010.70x = 6,998,029.58
  5. Step 5: Solve for x
    x = 6,998,029.58/3,010.70
  6. Step 6: Final answer
    x = 2,324.38

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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.