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Finding the Fourth Proportional to 3,411.09, 4,706.10 and 2,232.90

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Solution

The fourth proportional to 3,411.09, 4,706.10 and 2,232.90 is: 3,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.09 : 4,706.10 = 2,232.90 : x
  2. Step 2: Convert to fraction form
    3,411.09/4,706.10 = 2,232.90/x
  3. Step 3: Cross multiply
    3,411.09x = 4,706.10 × 2,232.90
  4. Step 4: Simplify right side
    3,411.09x = 10,508,250.69
  5. Step 5: Solve for x
    x = 10,508,250.69/3,411.09
  6. Step 6: Final answer
    x = 3,080.61

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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.