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Finding the Fourth Proportional to 3,223.95, 4,449.01 and 1,788.32

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Solution

The fourth proportional to 3,223.95, 4,449.01 and 1,788.32 is: 2,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.95 : 4,449.01 = 1,788.32 : x
  2. Step 2: Convert to fraction form
    3,223.95/4,449.01 = 1,788.32/x
  3. Step 3: Cross multiply
    3,223.95x = 4,449.01 × 1,788.32
  4. Step 4: Simplify right side
    3,223.95x = 7,956,253.56
  5. Step 5: Solve for x
    x = 7,956,253.56/3,223.95
  6. Step 6: Final answer
    x = 2,467.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.