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Finding the Fourth Proportional to 3,097.44, 4,649.40 and 1,944

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Solution

The fourth proportional to 3,097.44, 4,649.40 and 1,944 is: 2,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.44 : 4,649.40 = 1,944 : x
  2. Step 2: Convert to fraction form
    3,097.44/4,649.40 = 1,944/x
  3. Step 3: Cross multiply
    3,097.44x = 4,649.40 × 1,944
  4. Step 4: Simplify right side
    3,097.44x = 9,038,433.60
  5. Step 5: Solve for x
    x = 9,038,433.60/3,097.44
  6. Step 6: Final answer
    x = 2,918.03

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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.