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Finding the Fourth Proportional to 3,991.61, 5,985.05 and 1,648.98

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Solution

The fourth proportional to 3,991.61, 5,985.05 and 1,648.98 is: 2,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.61 : 5,985.05 = 1,648.98 : x
  2. Step 2: Convert to fraction form
    3,991.61/5,985.05 = 1,648.98/x
  3. Step 3: Cross multiply
    3,991.61x = 5,985.05 × 1,648.98
  4. Step 4: Simplify right side
    3,991.61x = 9,869,227.75
  5. Step 5: Solve for x
    x = 9,869,227.75/3,991.61
  6. Step 6: Final answer
    x = 2,472.49

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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.