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Finding the Fourth Proportional to 3,155.08, 4,354.01 and 1,829.55

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Solution

The fourth proportional to 3,155.08, 4,354.01 and 1,829.55 is: 2,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.08 : 4,354.01 = 1,829.55 : x
  2. Step 2: Convert to fraction form
    3,155.08/4,354.01 = 1,829.55/x
  3. Step 3: Cross multiply
    3,155.08x = 4,354.01 × 1,829.55
  4. Step 4: Simplify right side
    3,155.08x = 7,965,879.00
  5. Step 5: Solve for x
    x = 7,965,879.00/3,155.08
  6. Step 6: Final answer
    x = 2,524.78

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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.