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Finding the Fourth Proportional to 3,053.74, 4,213.30 and 1,794.34

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Solution

The fourth proportional to 3,053.74, 4,213.30 and 1,794.34 is: 2,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.74 : 4,213.30 = 1,794.34 : x
  2. Step 2: Convert to fraction form
    3,053.74/4,213.30 = 1,794.34/x
  3. Step 3: Cross multiply
    3,053.74x = 4,213.30 × 1,794.34
  4. Step 4: Simplify right side
    3,053.74x = 7,560,079.50
  5. Step 5: Solve for x
    x = 7,560,079.50/3,053.74
  6. Step 6: Final answer
    x = 2,475.68

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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.