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Finding the Fourth Proportional to 2,834.46, 3,913.46 and 2,534.78

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Solution

The fourth proportional to 2,834.46, 3,913.46 and 2,534.78 is: 3,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.46 : 3,913.46 = 2,534.78 : x
  2. Step 2: Convert to fraction form
    2,834.46/3,913.46 = 2,534.78/x
  3. Step 3: Cross multiply
    2,834.46x = 3,913.46 × 2,534.78
  4. Step 4: Simplify right side
    2,834.46x = 9,919,746.91
  5. Step 5: Solve for x
    x = 9,919,746.91/2,834.46
  6. Step 6: Final answer
    x = 3,499.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.