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Finding the Fourth Proportional to 1,983.35, 2,972.90 and 886.21

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Solution

The fourth proportional to 1,983.35, 2,972.90 and 886.21 is: 1,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.35 : 2,972.90 = 886.21 : x
  2. Step 2: Convert to fraction form
    1,983.35/2,972.90 = 886.21/x
  3. Step 3: Cross multiply
    1,983.35x = 2,972.90 × 886.21
  4. Step 4: Simplify right side
    1,983.35x = 2,634,608.49
  5. Step 5: Solve for x
    x = 2,634,608.49/1,983.35
  6. Step 6: Final answer
    x = 1,328.36

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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.