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Finding the Fourth Proportional to 2,884.36, 4,327.08 and 936.32

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Solution

The fourth proportional to 2,884.36, 4,327.08 and 936.32 is: 1,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.36 : 4,327.08 = 936.32 : x
  2. Step 2: Convert to fraction form
    2,884.36/4,327.08 = 936.32/x
  3. Step 3: Cross multiply
    2,884.36x = 4,327.08 × 936.32
  4. Step 4: Simplify right side
    2,884.36x = 4,051,531.55
  5. Step 5: Solve for x
    x = 4,051,531.55/2,884.36
  6. Step 6: Final answer
    x = 1,404.66

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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.