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Finding the Fourth Proportional to 4,600.38, 6,900.50 and 1,677.44

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Solution

The fourth proportional to 4,600.38, 6,900.50 and 1,677.44 is: 2,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.38 : 6,900.50 = 1,677.44 : x
  2. Step 2: Convert to fraction form
    4,600.38/6,900.50 = 1,677.44/x
  3. Step 3: Cross multiply
    4,600.38x = 6,900.50 × 1,677.44
  4. Step 4: Simplify right side
    4,600.38x = 11,575,174.72
  5. Step 5: Solve for x
    x = 11,575,174.72/4,600.38
  6. Step 6: Final answer
    x = 2,516.13

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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.