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Finding the Fourth Proportional to 2,887.64, 4,331.87 and 913.83

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Solution

The fourth proportional to 2,887.64, 4,331.87 and 913.83 is: 1,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.64 : 4,331.87 = 913.83 : x
  2. Step 2: Convert to fraction form
    2,887.64/4,331.87 = 913.83/x
  3. Step 3: Cross multiply
    2,887.64x = 4,331.87 × 913.83
  4. Step 4: Simplify right side
    2,887.64x = 3,958,587.66
  5. Step 5: Solve for x
    x = 3,958,587.66/2,887.64
  6. Step 6: Final answer
    x = 1,370.87

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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.