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Finding the Fourth Proportional to 3,411.63, 4,708.11 and 1,996.32

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Solution

The fourth proportional to 3,411.63, 4,708.11 and 1,996.32 is: 2,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.63 : 4,708.11 = 1,996.32 : x
  2. Step 2: Convert to fraction form
    3,411.63/4,708.11 = 1,996.32/x
  3. Step 3: Cross multiply
    3,411.63x = 4,708.11 × 1,996.32
  4. Step 4: Simplify right side
    3,411.63x = 9,398,894.16
  5. Step 5: Solve for x
    x = 9,398,894.16/3,411.63
  6. Step 6: Final answer
    x = 2,754.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.