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Finding the Fourth Proportional to 1,976.72, 2,962 and 1,770.16

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Solution

The fourth proportional to 1,976.72, 2,962 and 1,770.16 is: 2,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.72 : 2,962 = 1,770.16 : x
  2. Step 2: Convert to fraction form
    1,976.72/2,962 = 1,770.16/x
  3. Step 3: Cross multiply
    1,976.72x = 2,962 × 1,770.16
  4. Step 4: Simplify right side
    1,976.72x = 5,243,213.92
  5. Step 5: Solve for x
    x = 5,243,213.92/1,976.72
  6. Step 6: Final answer
    x = 2,652.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.