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Finding the Fourth Proportional to 1,777.91, 2,666.72 and 997.40

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Solution

The fourth proportional to 1,777.91, 2,666.72 and 997.40 is: 1,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.91 : 2,666.72 = 997.40 : x
  2. Step 2: Convert to fraction form
    1,777.91/2,666.72 = 997.40/x
  3. Step 3: Cross multiply
    1,777.91x = 2,666.72 × 997.40
  4. Step 4: Simplify right side
    1,777.91x = 2,659,795.69
  5. Step 5: Solve for x
    x = 2,659,795.69/1,777.91
  6. Step 6: Final answer
    x = 1,496.03

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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.