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Finding the Fourth Proportional to 1,612.53, 2,224.49 and 1,022.13

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Solution

The fourth proportional to 1,612.53, 2,224.49 and 1,022.13 is: 1,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.53 : 2,224.49 = 1,022.13 : x
  2. Step 2: Convert to fraction form
    1,612.53/2,224.49 = 1,022.13/x
  3. Step 3: Cross multiply
    1,612.53x = 2,224.49 × 1,022.13
  4. Step 4: Simplify right side
    1,612.53x = 2,273,712.85
  5. Step 5: Solve for x
    x = 2,273,712.85/1,612.53
  6. Step 6: Final answer
    x = 1,410.03

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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.