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Finding the Fourth Proportional to 3,184.62, 4,773.56 and 1,702.94

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Solution

The fourth proportional to 3,184.62, 4,773.56 and 1,702.94 is: 2,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.62 : 4,773.56 = 1,702.94 : x
  2. Step 2: Convert to fraction form
    3,184.62/4,773.56 = 1,702.94/x
  3. Step 3: Cross multiply
    3,184.62x = 4,773.56 × 1,702.94
  4. Step 4: Simplify right side
    3,184.62x = 8,129,053.88
  5. Step 5: Solve for x
    x = 8,129,053.88/3,184.62
  6. Step 6: Final answer
    x = 2,552.60

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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.