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Finding the Fourth Proportional to 2,064.85, 3,097.41 and 832.25

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Solution

The fourth proportional to 2,064.85, 3,097.41 and 832.25 is: 1,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.85 : 3,097.41 = 832.25 : x
  2. Step 2: Convert to fraction form
    2,064.85/3,097.41 = 832.25/x
  3. Step 3: Cross multiply
    2,064.85x = 3,097.41 × 832.25
  4. Step 4: Simplify right side
    2,064.85x = 2,577,824.10
  5. Step 5: Solve for x
    x = 2,577,824.10/2,064.85
  6. Step 6: Final answer
    x = 1,248.43

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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.