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Finding the Fourth Proportional to 2,887.62, 4,331.44 and 1,156.26

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Solution

The fourth proportional to 2,887.62, 4,331.44 and 1,156.26 is: 1,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.62 : 4,331.44 = 1,156.26 : x
  2. Step 2: Convert to fraction form
    2,887.62/4,331.44 = 1,156.26/x
  3. Step 3: Cross multiply
    2,887.62x = 4,331.44 × 1,156.26
  4. Step 4: Simplify right side
    2,887.62x = 5,008,270.81
  5. Step 5: Solve for x
    x = 5,008,270.81/2,887.62
  6. Step 6: Final answer
    x = 1,734.39

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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.