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Finding the Fourth Proportional to 2,465.32, 3,401.13 and 1,626.43

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Solution

The fourth proportional to 2,465.32, 3,401.13 and 1,626.43 is: 2,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.32 : 3,401.13 = 1,626.43 : x
  2. Step 2: Convert to fraction form
    2,465.32/3,401.13 = 1,626.43/x
  3. Step 3: Cross multiply
    2,465.32x = 3,401.13 × 1,626.43
  4. Step 4: Simplify right side
    2,465.32x = 5,531,674.73
  5. Step 5: Solve for x
    x = 5,531,674.73/2,465.32
  6. Step 6: Final answer
    x = 2,243.80

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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.