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Finding the Fourth Proportional to 1,768.56, 2,656.29 and 1,304.52

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Solution

The fourth proportional to 1,768.56, 2,656.29 and 1,304.52 is: 1,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.56 : 2,656.29 = 1,304.52 : x
  2. Step 2: Convert to fraction form
    1,768.56/2,656.29 = 1,304.52/x
  3. Step 3: Cross multiply
    1,768.56x = 2,656.29 × 1,304.52
  4. Step 4: Simplify right side
    1,768.56x = 3,465,183.43
  5. Step 5: Solve for x
    x = 3,465,183.43/1,768.56
  6. Step 6: Final answer
    x = 1,959.32

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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.