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Finding the Fourth Proportional to 4,421.88, 6,633.09 and 1,648.47

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Solution

The fourth proportional to 4,421.88, 6,633.09 and 1,648.47 is: 2,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421.88 : 6,633.09 = 1,648.47 : x
  2. Step 2: Convert to fraction form
    4,421.88/6,633.09 = 1,648.47/x
  3. Step 3: Cross multiply
    4,421.88x = 6,633.09 × 1,648.47
  4. Step 4: Simplify right side
    4,421.88x = 10,934,449.87
  5. Step 5: Solve for x
    x = 10,934,449.87/4,421.88
  6. Step 6: Final answer
    x = 2,472.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.