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Finding the Fourth Proportional to 2,034, 3,053.43 and 1,212.66

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Solution

The fourth proportional to 2,034, 3,053.43 and 1,212.66 is: 1,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 3,053.43 = 1,212.66 : x
  2. Step 2: Convert to fraction form
    2,034/3,053.43 = 1,212.66/x
  3. Step 3: Cross multiply
    2,034x = 3,053.43 × 1,212.66
  4. Step 4: Simplify right side
    2,034x = 3,702,772.42
  5. Step 5: Solve for x
    x = 3,702,772.42/2,034
  6. Step 6: Final answer
    x = 1,820.44

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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.