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Finding the Fourth Proportional to 3,121.64, 4,677.60 and 1,658.78

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Solution

The fourth proportional to 3,121.64, 4,677.60 and 1,658.78 is: 2,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.64 : 4,677.60 = 1,658.78 : x
  2. Step 2: Convert to fraction form
    3,121.64/4,677.60 = 1,658.78/x
  3. Step 3: Cross multiply
    3,121.64x = 4,677.60 × 1,658.78
  4. Step 4: Simplify right side
    3,121.64x = 7,759,109.33
  5. Step 5: Solve for x
    x = 7,759,109.33/3,121.64
  6. Step 6: Final answer
    x = 2,485.59

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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.