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Finding the Fourth Proportional to 3,155.58, 4,354.71 and 1,829.61

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Solution

The fourth proportional to 3,155.58, 4,354.71 and 1,829.61 is: 2,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.58 : 4,354.71 = 1,829.61 : x
  2. Step 2: Convert to fraction form
    3,155.58/4,354.71 = 1,829.61/x
  3. Step 3: Cross multiply
    3,155.58x = 4,354.71 × 1,829.61
  4. Step 4: Simplify right side
    3,155.58x = 7,967,420.96
  5. Step 5: Solve for x
    x = 7,967,420.96/3,155.58
  6. Step 6: Final answer
    x = 2,524.87

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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.