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Finding the Fourth Proportional to 2,962.72, 4,444.31 and 882.69

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Solution

The fourth proportional to 2,962.72, 4,444.31 and 882.69 is: 1,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.72 : 4,444.31 = 882.69 : x
  2. Step 2: Convert to fraction form
    2,962.72/4,444.31 = 882.69/x
  3. Step 3: Cross multiply
    2,962.72x = 4,444.31 × 882.69
  4. Step 4: Simplify right side
    2,962.72x = 3,922,947.99
  5. Step 5: Solve for x
    x = 3,922,947.99/2,962.72
  6. Step 6: Final answer
    x = 1,324.10

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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.