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Finding the Fourth Proportional to 2,528.77, 3,791.71 and 773.29

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Solution

The fourth proportional to 2,528.77, 3,791.71 and 773.29 is: 1,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.77 : 3,791.71 = 773.29 : x
  2. Step 2: Convert to fraction form
    2,528.77/3,791.71 = 773.29/x
  3. Step 3: Cross multiply
    2,528.77x = 3,791.71 × 773.29
  4. Step 4: Simplify right side
    2,528.77x = 2,932,068.60
  5. Step 5: Solve for x
    x = 2,932,068.60/2,528.77
  6. Step 6: Final answer
    x = 1,159.48

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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.