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Finding the Fourth Proportional to 3,114.54, 4,651.71 and 2,064.78

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Solution

The fourth proportional to 3,114.54, 4,651.71 and 2,064.78 is: 3,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.54 : 4,651.71 = 2,064.78 : x
  2. Step 2: Convert to fraction form
    3,114.54/4,651.71 = 2,064.78/x
  3. Step 3: Cross multiply
    3,114.54x = 4,651.71 × 2,064.78
  4. Step 4: Simplify right side
    3,114.54x = 9,604,757.77
  5. Step 5: Solve for x
    x = 9,604,757.77/3,114.54
  6. Step 6: Final answer
    x = 3,083.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.