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Finding the Fourth Proportional to 3,094.10, 4,638.72 and 1,449

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Solution

The fourth proportional to 3,094.10, 4,638.72 and 1,449 is: 2,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.10 : 4,638.72 = 1,449 : x
  2. Step 2: Convert to fraction form
    3,094.10/4,638.72 = 1,449/x
  3. Step 3: Cross multiply
    3,094.10x = 4,638.72 × 1,449
  4. Step 4: Simplify right side
    3,094.10x = 6,721,505.28
  5. Step 5: Solve for x
    x = 6,721,505.28/3,094.10
  6. Step 6: Final answer
    x = 2,172.36

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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.