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Finding the Fourth Proportional to 4,468.80, 6,702.96 and 1,182

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Solution

The fourth proportional to 4,468.80, 6,702.96 and 1,182 is: 1,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.80 : 6,702.96 = 1,182 : x
  2. Step 2: Convert to fraction form
    4,468.80/6,702.96 = 1,182/x
  3. Step 3: Cross multiply
    4,468.80x = 6,702.96 × 1,182
  4. Step 4: Simplify right side
    4,468.80x = 7,922,898.72
  5. Step 5: Solve for x
    x = 7,922,898.72/4,468.80
  6. Step 6: Final answer
    x = 1,772.94

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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.