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Finding the Fourth Proportional to 3,094.78, 4,636.59 and 2,052.31

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Solution

The fourth proportional to 3,094.78, 4,636.59 and 2,052.31 is: 3,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.78 : 4,636.59 = 2,052.31 : x
  2. Step 2: Convert to fraction form
    3,094.78/4,636.59 = 2,052.31/x
  3. Step 3: Cross multiply
    3,094.78x = 4,636.59 × 2,052.31
  4. Step 4: Simplify right side
    3,094.78x = 9,515,720.02
  5. Step 5: Solve for x
    x = 9,515,720.02/3,094.78
  6. Step 6: Final answer
    x = 3,074.76

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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.