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Finding the Fourth Proportional to 2,937.82, 4,406.26 and 1,089.82

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Solution

The fourth proportional to 2,937.82, 4,406.26 and 1,089.82 is: 1,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.82 : 4,406.26 = 1,089.82 : x
  2. Step 2: Convert to fraction form
    2,937.82/4,406.26 = 1,089.82/x
  3. Step 3: Cross multiply
    2,937.82x = 4,406.26 × 1,089.82
  4. Step 4: Simplify right side
    2,937.82x = 4,802,030.27
  5. Step 5: Solve for x
    x = 4,802,030.27/2,937.82
  6. Step 6: Final answer
    x = 1,634.56

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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.