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Finding the Fourth Proportional to 2,884.16, 4,327.65 and 1,788.23

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Solution

The fourth proportional to 2,884.16, 4,327.65 and 1,788.23 is: 2,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.16 : 4,327.65 = 1,788.23 : x
  2. Step 2: Convert to fraction form
    2,884.16/4,327.65 = 1,788.23/x
  3. Step 3: Cross multiply
    2,884.16x = 4,327.65 × 1,788.23
  4. Step 4: Simplify right side
    2,884.16x = 7,738,833.56
  5. Step 5: Solve for x
    x = 7,738,833.56/2,884.16
  6. Step 6: Final answer
    x = 2,683.22

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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.