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Finding the Fourth Proportional to 3,182.29, 4,773.76 and 1,102.29

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Solution

The fourth proportional to 3,182.29, 4,773.76 and 1,102.29 is: 1,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.29 : 4,773.76 = 1,102.29 : x
  2. Step 2: Convert to fraction form
    3,182.29/4,773.76 = 1,102.29/x
  3. Step 3: Cross multiply
    3,182.29x = 4,773.76 × 1,102.29
  4. Step 4: Simplify right side
    3,182.29x = 5,262,050.46
  5. Step 5: Solve for x
    x = 5,262,050.46/3,182.29
  6. Step 6: Final answer
    x = 1,653.54

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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.