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Finding the Fourth Proportional to 2,465.70, 3,397.41 and 1,906.26

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Solution

The fourth proportional to 2,465.70, 3,397.41 and 1,906.26 is: 2,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.70 : 3,397.41 = 1,906.26 : x
  2. Step 2: Convert to fraction form
    2,465.70/3,397.41 = 1,906.26/x
  3. Step 3: Cross multiply
    2,465.70x = 3,397.41 × 1,906.26
  4. Step 4: Simplify right side
    2,465.70x = 6,476,346.79
  5. Step 5: Solve for x
    x = 6,476,346.79/2,465.70
  6. Step 6: Final answer
    x = 2,626.58

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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.