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Finding the Fourth Proportional to 3,154.74, 4,354.32 and 1,829.24

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Solution

The fourth proportional to 3,154.74, 4,354.32 and 1,829.24 is: 2,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.74 : 4,354.32 = 1,829.24 : x
  2. Step 2: Convert to fraction form
    3,154.74/4,354.32 = 1,829.24/x
  3. Step 3: Cross multiply
    3,154.74x = 4,354.32 × 1,829.24
  4. Step 4: Simplify right side
    3,154.74x = 7,965,096.32
  5. Step 5: Solve for x
    x = 7,965,096.32/3,154.74
  6. Step 6: Final answer
    x = 2,524.80

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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.