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Finding the Fourth Proportional to 2,974.28, 4,460.29 and 1,218.33

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Solution

The fourth proportional to 2,974.28, 4,460.29 and 1,218.33 is: 1,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.28 : 4,460.29 = 1,218.33 : x
  2. Step 2: Convert to fraction form
    2,974.28/4,460.29 = 1,218.33/x
  3. Step 3: Cross multiply
    2,974.28x = 4,460.29 × 1,218.33
  4. Step 4: Simplify right side
    2,974.28x = 5,434,102.07
  5. Step 5: Solve for x
    x = 5,434,102.07/2,974.28
  6. Step 6: Final answer
    x = 1,827.03

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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.