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Finding the Fourth Proportional to 3,089.01, 4,633.68 and 1,772.41

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Solution

The fourth proportional to 3,089.01, 4,633.68 and 1,772.41 is: 2,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.01 : 4,633.68 = 1,772.41 : x
  2. Step 2: Convert to fraction form
    3,089.01/4,633.68 = 1,772.41/x
  3. Step 3: Cross multiply
    3,089.01x = 4,633.68 × 1,772.41
  4. Step 4: Simplify right side
    3,089.01x = 8,212,780.77
  5. Step 5: Solve for x
    x = 8,212,780.77/3,089.01
  6. Step 6: Final answer
    x = 2,658.71

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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.