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Finding the Fourth Proportional to 1,777.26, 2,666.16 and 852.78

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Solution

The fourth proportional to 1,777.26, 2,666.16 and 852.78 is: 1,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.26 : 2,666.16 = 852.78 : x
  2. Step 2: Convert to fraction form
    1,777.26/2,666.16 = 852.78/x
  3. Step 3: Cross multiply
    1,777.26x = 2,666.16 × 852.78
  4. Step 4: Simplify right side
    1,777.26x = 2,273,647.92
  5. Step 5: Solve for x
    x = 2,273,647.92/1,777.26
  6. Step 6: Final answer
    x = 1,279.30

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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.