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Finding the Fourth Proportional to 3,182.03, 4,773.44 and 1,233.98

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Solution

The fourth proportional to 3,182.03, 4,773.44 and 1,233.98 is: 1,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.03 : 4,773.44 = 1,233.98 : x
  2. Step 2: Convert to fraction form
    3,182.03/4,773.44 = 1,233.98/x
  3. Step 3: Cross multiply
    3,182.03x = 4,773.44 × 1,233.98
  4. Step 4: Simplify right side
    3,182.03x = 5,890,308.71
  5. Step 5: Solve for x
    x = 5,890,308.71/3,182.03
  6. Step 6: Final answer
    x = 1,851.12

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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.