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Finding the Fourth Proportional to 2,887.75, 4,331.80 and 913.44

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Solution

The fourth proportional to 2,887.75, 4,331.80 and 913.44 is: 1,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.75 : 4,331.80 = 913.44 : x
  2. Step 2: Convert to fraction form
    2,887.75/4,331.80 = 913.44/x
  3. Step 3: Cross multiply
    2,887.75x = 4,331.80 × 913.44
  4. Step 4: Simplify right side
    2,887.75x = 3,956,839.39
  5. Step 5: Solve for x
    x = 3,956,839.39/2,887.75
  6. Step 6: Final answer
    x = 1,370.22

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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.