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Finding the Fourth Proportional to 3,782.80, 5,675.61 and 1,702.18

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Solution

The fourth proportional to 3,782.80, 5,675.61 and 1,702.18 is: 2,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.80 : 5,675.61 = 1,702.18 : x
  2. Step 2: Convert to fraction form
    3,782.80/5,675.61 = 1,702.18/x
  3. Step 3: Cross multiply
    3,782.80x = 5,675.61 × 1,702.18
  4. Step 4: Simplify right side
    3,782.80x = 9,660,881.45
  5. Step 5: Solve for x
    x = 9,660,881.45/3,782.80
  6. Step 6: Final answer
    x = 2,553.90

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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.