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Finding the Fourth Proportional to 2,764.73, 3,815.04 and 1,702.32

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Solution

The fourth proportional to 2,764.73, 3,815.04 and 1,702.32 is: 2,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.73 : 3,815.04 = 1,702.32 : x
  2. Step 2: Convert to fraction form
    2,764.73/3,815.04 = 1,702.32/x
  3. Step 3: Cross multiply
    2,764.73x = 3,815.04 × 1,702.32
  4. Step 4: Simplify right side
    2,764.73x = 6,494,422.85
  5. Step 5: Solve for x
    x = 6,494,422.85/2,764.73
  6. Step 6: Final answer
    x = 2,349.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.