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Finding the Fourth Proportional to 3,182.85, 4,773.13 and 1,102.29

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Solution

The fourth proportional to 3,182.85, 4,773.13 and 1,102.29 is: 1,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.85 : 4,773.13 = 1,102.29 : x
  2. Step 2: Convert to fraction form
    3,182.85/4,773.13 = 1,102.29/x
  3. Step 3: Cross multiply
    3,182.85x = 4,773.13 × 1,102.29
  4. Step 4: Simplify right side
    3,182.85x = 5,261,392.74
  5. Step 5: Solve for x
    x = 5,261,392.74/3,182.85
  6. Step 6: Final answer
    x = 1,653.04

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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.