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Finding the Fourth Proportional to 3,053.82, 4,214.16 and 1,709.49

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Solution

The fourth proportional to 3,053.82, 4,214.16 and 1,709.49 is: 2,359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.82 : 4,214.16 = 1,709.49 : x
  2. Step 2: Convert to fraction form
    3,053.82/4,214.16 = 1,709.49/x
  3. Step 3: Cross multiply
    3,053.82x = 4,214.16 × 1,709.49
  4. Step 4: Simplify right side
    3,053.82x = 7,204,064.38
  5. Step 5: Solve for x
    x = 7,204,064.38/3,053.82
  6. Step 6: Final answer
    x = 2,359.03

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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.