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Finding the Fourth Proportional to 2,553.31, 3,829.02 and 909.42

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Solution

The fourth proportional to 2,553.31, 3,829.02 and 909.42 is: 1,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.31 : 3,829.02 = 909.42 : x
  2. Step 2: Convert to fraction form
    2,553.31/3,829.02 = 909.42/x
  3. Step 3: Cross multiply
    2,553.31x = 3,829.02 × 909.42
  4. Step 4: Simplify right side
    2,553.31x = 3,482,187.37
  5. Step 5: Solve for x
    x = 3,482,187.37/2,553.31
  6. Step 6: Final answer
    x = 1,363.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.