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Finding the Fourth Proportional to 3,553.63, 4,904 and 1,981.82

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Solution

The fourth proportional to 3,553.63, 4,904 and 1,981.82 is: 2,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.63 : 4,904 = 1,981.82 : x
  2. Step 2: Convert to fraction form
    3,553.63/4,904 = 1,981.82/x
  3. Step 3: Cross multiply
    3,553.63x = 4,904 × 1,981.82
  4. Step 4: Simplify right side
    3,553.63x = 9,718,845.28
  5. Step 5: Solve for x
    x = 9,718,845.28/3,553.63
  6. Step 6: Final answer
    x = 2,734.91

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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.