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Finding the Fourth Proportional to 3,114.83, 4,658.46 and 2,770.58

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Solution

The fourth proportional to 3,114.83, 4,658.46 and 2,770.58 is: 4,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.83 : 4,658.46 = 2,770.58 : x
  2. Step 2: Convert to fraction form
    3,114.83/4,658.46 = 2,770.58/x
  3. Step 3: Cross multiply
    3,114.83x = 4,658.46 × 2,770.58
  4. Step 4: Simplify right side
    3,114.83x = 12,906,612.81
  5. Step 5: Solve for x
    x = 12,906,612.81/3,114.83
  6. Step 6: Final answer
    x = 4,143.61

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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.