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Finding the Fourth Proportional to 2,989.35, 4,490.91 and 1,882.22

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Solution

The fourth proportional to 2,989.35, 4,490.91 and 1,882.22 is: 2,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.35 : 4,490.91 = 1,882.22 : x
  2. Step 2: Convert to fraction form
    2,989.35/4,490.91 = 1,882.22/x
  3. Step 3: Cross multiply
    2,989.35x = 4,490.91 × 1,882.22
  4. Step 4: Simplify right side
    2,989.35x = 8,452,858.17
  5. Step 5: Solve for x
    x = 8,452,858.17/2,989.35
  6. Step 6: Final answer
    x = 2,827.66

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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.