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Finding the Fourth Proportional to 1,776.92, 2,663.44 and 1,571.99

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Solution

The fourth proportional to 1,776.92, 2,663.44 and 1,571.99 is: 2,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.92 : 2,663.44 = 1,571.99 : x
  2. Step 2: Convert to fraction form
    1,776.92/2,663.44 = 1,571.99/x
  3. Step 3: Cross multiply
    1,776.92x = 2,663.44 × 1,571.99
  4. Step 4: Simplify right side
    1,776.92x = 4,186,883.80
  5. Step 5: Solve for x
    x = 4,186,883.80/1,776.92
  6. Step 6: Final answer
    x = 2,356.27

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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.