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Finding the Fourth Proportional to 3,154.86, 4,354.49 and 1,829.36

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Solution

The fourth proportional to 3,154.86, 4,354.49 and 1,829.36 is: 2,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.86 : 4,354.49 = 1,829.36 : x
  2. Step 2: Convert to fraction form
    3,154.86/4,354.49 = 1,829.36/x
  3. Step 3: Cross multiply
    3,154.86x = 4,354.49 × 1,829.36
  4. Step 4: Simplify right side
    3,154.86x = 7,965,945.29
  5. Step 5: Solve for x
    x = 7,965,945.29/3,154.86
  6. Step 6: Final answer
    x = 2,524.98

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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.