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Finding the Fourth Proportional to 2,012.22, 3,018.24 and 713.64

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Solution

The fourth proportional to 2,012.22, 3,018.24 and 713.64 is: 1,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.22 : 3,018.24 = 713.64 : x
  2. Step 2: Convert to fraction form
    2,012.22/3,018.24 = 713.64/x
  3. Step 3: Cross multiply
    2,012.22x = 3,018.24 × 713.64
  4. Step 4: Simplify right side
    2,012.22x = 2,153,936.79
  5. Step 5: Solve for x
    x = 2,153,936.79/2,012.22
  6. Step 6: Final answer
    x = 1,070.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.