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Finding the Fourth Proportional to 2,954.52, 4,431.63 and 763.20

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Solution

The fourth proportional to 2,954.52, 4,431.63 and 763.20 is: 1,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.52 : 4,431.63 = 763.20 : x
  2. Step 2: Convert to fraction form
    2,954.52/4,431.63 = 763.20/x
  3. Step 3: Cross multiply
    2,954.52x = 4,431.63 × 763.20
  4. Step 4: Simplify right side
    2,954.52x = 3,382,199.77
  5. Step 5: Solve for x
    x = 3,382,199.77/2,954.52
  6. Step 6: Final answer
    x = 1,144.75

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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.