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Finding the Fourth Proportional to 2,274.24, 3,408.96 and 975.36

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Solution

The fourth proportional to 2,274.24, 3,408.96 and 975.36 is: 1,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.24 : 3,408.96 = 975.36 : x
  2. Step 2: Convert to fraction form
    2,274.24/3,408.96 = 975.36/x
  3. Step 3: Cross multiply
    2,274.24x = 3,408.96 × 975.36
  4. Step 4: Simplify right side
    2,274.24x = 3,324,963.23
  5. Step 5: Solve for x
    x = 3,324,963.23/2,274.24
  6. Step 6: Final answer
    x = 1,462.01

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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.