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Finding the Fourth Proportional to 2,853.44, 4,280.43 and 773.45

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Solution

The fourth proportional to 2,853.44, 4,280.43 and 773.45 is: 1,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.44 : 4,280.43 = 773.45 : x
  2. Step 2: Convert to fraction form
    2,853.44/4,280.43 = 773.45/x
  3. Step 3: Cross multiply
    2,853.44x = 4,280.43 × 773.45
  4. Step 4: Simplify right side
    2,853.44x = 3,310,703.69
  5. Step 5: Solve for x
    x = 3,310,703.69/2,853.44
  6. Step 6: Final answer
    x = 1,160.25

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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.