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Finding the Fourth Proportional to 2,938.69, 4,408.05 and 990.91

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Solution

The fourth proportional to 2,938.69, 4,408.05 and 990.91 is: 1,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.69 : 4,408.05 = 990.91 : x
  2. Step 2: Convert to fraction form
    2,938.69/4,408.05 = 990.91/x
  3. Step 3: Cross multiply
    2,938.69x = 4,408.05 × 990.91
  4. Step 4: Simplify right side
    2,938.69x = 4,367,953.83
  5. Step 5: Solve for x
    x = 4,367,953.83/2,938.69
  6. Step 6: Final answer
    x = 1,486.36

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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.