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Finding the Fourth Proportional to 2,468.97, 3,405.33 and 1,901.70

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Solution

The fourth proportional to 2,468.97, 3,405.33 and 1,901.70 is: 2,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.97 : 3,405.33 = 1,901.70 : x
  2. Step 2: Convert to fraction form
    2,468.97/3,405.33 = 1,901.70/x
  3. Step 3: Cross multiply
    2,468.97x = 3,405.33 × 1,901.70
  4. Step 4: Simplify right side
    2,468.97x = 6,475,916.06
  5. Step 5: Solve for x
    x = 6,475,916.06/2,468.97
  6. Step 6: Final answer
    x = 2,622.92

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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.