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Finding the Fourth Proportional to 3,329.67, 4,994.04 and 1,829.16

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Solution

The fourth proportional to 3,329.67, 4,994.04 and 1,829.16 is: 2,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.67 : 4,994.04 = 1,829.16 : x
  2. Step 2: Convert to fraction form
    3,329.67/4,994.04 = 1,829.16/x
  3. Step 3: Cross multiply
    3,329.67x = 4,994.04 × 1,829.16
  4. Step 4: Simplify right side
    3,329.67x = 9,134,898.21
  5. Step 5: Solve for x
    x = 9,134,898.21/3,329.67
  6. Step 6: Final answer
    x = 2,743.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.