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Finding the Fourth Proportional to 3,104.37, 4,656.45 and 1,349.37

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Solution

The fourth proportional to 3,104.37, 4,656.45 and 1,349.37 is: 2,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.37 : 4,656.45 = 1,349.37 : x
  2. Step 2: Convert to fraction form
    3,104.37/4,656.45 = 1,349.37/x
  3. Step 3: Cross multiply
    3,104.37x = 4,656.45 × 1,349.37
  4. Step 4: Simplify right side
    3,104.37x = 6,283,273.94
  5. Step 5: Solve for x
    x = 6,283,273.94/3,104.37
  6. Step 6: Final answer
    x = 2,024.01

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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.