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Finding the Fourth Proportional to 1,777.76, 2,665.52 and 853.52

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Solution

The fourth proportional to 1,777.76, 2,665.52 and 853.52 is: 1,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.76 : 2,665.52 = 853.52 : x
  2. Step 2: Convert to fraction form
    1,777.76/2,665.52 = 853.52/x
  3. Step 3: Cross multiply
    1,777.76x = 2,665.52 × 853.52
  4. Step 4: Simplify right side
    1,777.76x = 2,275,074.63
  5. Step 5: Solve for x
    x = 2,275,074.63/1,777.76
  6. Step 6: Final answer
    x = 1,279.74

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