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Finding the Fourth Proportional to 3,155.49, 4,354.19 and 1,829.13

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Solution

The fourth proportional to 3,155.49, 4,354.19 and 1,829.13 is: 2,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.49 : 4,354.19 = 1,829.13 : x
  2. Step 2: Convert to fraction form
    3,155.49/4,354.19 = 1,829.13/x
  3. Step 3: Cross multiply
    3,155.49x = 4,354.19 × 1,829.13
  4. Step 4: Simplify right side
    3,155.49x = 7,964,370.41
  5. Step 5: Solve for x
    x = 7,964,370.41/3,155.49
  6. Step 6: Final answer
    x = 2,523.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.