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Finding the Fourth Proportional to 4,454.78, 6,683 and 1,682.28

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Solution

The fourth proportional to 4,454.78, 6,683 and 1,682.28 is: 2,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.78 : 6,683 = 1,682.28 : x
  2. Step 2: Convert to fraction form
    4,454.78/6,683 = 1,682.28/x
  3. Step 3: Cross multiply
    4,454.78x = 6,683 × 1,682.28
  4. Step 4: Simplify right side
    4,454.78x = 11,242,677.24
  5. Step 5: Solve for x
    x = 11,242,677.24/4,454.78
  6. Step 6: Final answer
    x = 2,523.73

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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.