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Finding the Fourth Proportional to 3,089.50, 4,256.84 and 2,093.04

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Solution

The fourth proportional to 3,089.50, 4,256.84 and 2,093.04 is: 2,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.50 : 4,256.84 = 2,093.04 : x
  2. Step 2: Convert to fraction form
    3,089.50/4,256.84 = 2,093.04/x
  3. Step 3: Cross multiply
    3,089.50x = 4,256.84 × 2,093.04
  4. Step 4: Simplify right side
    3,089.50x = 8,909,741.63
  5. Step 5: Solve for x
    x = 8,909,741.63/3,089.50
  6. Step 6: Final answer
    x = 2,883.88

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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.