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Finding the Fourth Proportional to 3,114.53, 4,669.47 and 1,881.66

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Solution

The fourth proportional to 3,114.53, 4,669.47 and 1,881.66 is: 2,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.53 : 4,669.47 = 1,881.66 : x
  2. Step 2: Convert to fraction form
    3,114.53/4,669.47 = 1,881.66/x
  3. Step 3: Cross multiply
    3,114.53x = 4,669.47 × 1,881.66
  4. Step 4: Simplify right side
    3,114.53x = 8,786,354.92
  5. Step 5: Solve for x
    x = 8,786,354.92/3,114.53
  6. Step 6: Final answer
    x = 2,821.09

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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.