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Finding the Fourth Proportional to 1,972.56, 2,962.20 and 1,890

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Solution

The fourth proportional to 1,972.56, 2,962.20 and 1,890 is: 2,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.56 : 2,962.20 = 1,890 : x
  2. Step 2: Convert to fraction form
    1,972.56/2,962.20 = 1,890/x
  3. Step 3: Cross multiply
    1,972.56x = 2,962.20 × 1,890
  4. Step 4: Simplify right side
    1,972.56x = 5,598,558
  5. Step 5: Solve for x
    x = 5,598,558/1,972.56
  6. Step 6: Final answer
    x = 2,838.22

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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.