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Finding the Fourth Proportional to 2,193.66, 3,029.82 and 1,747.02

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Solution

The fourth proportional to 2,193.66, 3,029.82 and 1,747.02 is: 2,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.66 : 3,029.82 = 1,747.02 : x
  2. Step 2: Convert to fraction form
    2,193.66/3,029.82 = 1,747.02/x
  3. Step 3: Cross multiply
    2,193.66x = 3,029.82 × 1,747.02
  4. Step 4: Simplify right side
    2,193.66x = 5,293,156.14
  5. Step 5: Solve for x
    x = 5,293,156.14/2,193.66
  6. Step 6: Final answer
    x = 2,412.93

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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.