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Finding the Fourth Proportional to 1,777.78, 2,666.94 and 853.16

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Solution

The fourth proportional to 1,777.78, 2,666.94 and 853.16 is: 1,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.78 : 2,666.94 = 853.16 : x
  2. Step 2: Convert to fraction form
    1,777.78/2,666.94 = 853.16/x
  3. Step 3: Cross multiply
    1,777.78x = 2,666.94 × 853.16
  4. Step 4: Simplify right side
    1,777.78x = 2,275,322.26
  5. Step 5: Solve for x
    x = 2,275,322.26/1,777.78
  6. Step 6: Final answer
    x = 1,279.87

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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.