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Finding the Fourth Proportional to 2,834.01, 3,901.23 and 2,458.78

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Solution

The fourth proportional to 2,834.01, 3,901.23 and 2,458.78 is: 3,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.01 : 3,901.23 = 2,458.78 : x
  2. Step 2: Convert to fraction form
    2,834.01/3,901.23 = 2,458.78/x
  3. Step 3: Cross multiply
    2,834.01x = 3,901.23 × 2,458.78
  4. Step 4: Simplify right side
    2,834.01x = 9,592,256.55
  5. Step 5: Solve for x
    x = 9,592,256.55/2,834.01
  6. Step 6: Final answer
    x = 3,384.69

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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.