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Finding the Fourth Proportional to 3,182.88, 4,773.16 and 1,102.33

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Solution

The fourth proportional to 3,182.88, 4,773.16 and 1,102.33 is: 1,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.88 : 4,773.16 = 1,102.33 : x
  2. Step 2: Convert to fraction form
    3,182.88/4,773.16 = 1,102.33/x
  3. Step 3: Cross multiply
    3,182.88x = 4,773.16 × 1,102.33
  4. Step 4: Simplify right side
    3,182.88x = 5,261,597.46
  5. Step 5: Solve for x
    x = 5,261,597.46/3,182.88
  6. Step 6: Final answer
    x = 1,653.09

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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.