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Finding the Fourth Proportional to 2,901.12, 4,352.40 and 849.12

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Solution

The fourth proportional to 2,901.12, 4,352.40 and 849.12 is: 1,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.12 : 4,352.40 = 849.12 : x
  2. Step 2: Convert to fraction form
    2,901.12/4,352.40 = 849.12/x
  3. Step 3: Cross multiply
    2,901.12x = 4,352.40 × 849.12
  4. Step 4: Simplify right side
    2,901.12x = 3,695,709.89
  5. Step 5: Solve for x
    x = 3,695,709.89/2,901.12
  6. Step 6: Final answer
    x = 1,273.89

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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.