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Finding the Fourth Proportional to 3,553, 4,903.14 and 1,981.20

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Solution

The fourth proportional to 3,553, 4,903.14 and 1,981.20 is: 2,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553 : 4,903.14 = 1,981.20 : x
  2. Step 2: Convert to fraction form
    3,553/4,903.14 = 1,981.20/x
  3. Step 3: Cross multiply
    3,553x = 4,903.14 × 1,981.20
  4. Step 4: Simplify right side
    3,553x = 9,714,100.97
  5. Step 5: Solve for x
    x = 9,714,100.97/3,553
  6. Step 6: Final answer
    x = 2,734.06

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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.