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Finding the Fourth Proportional to 3,407.34, 4,704.96 and 2,150.46

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Solution

The fourth proportional to 3,407.34, 4,704.96 and 2,150.46 is: 2,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.34 : 4,704.96 = 2,150.46 : x
  2. Step 2: Convert to fraction form
    3,407.34/4,704.96 = 2,150.46/x
  3. Step 3: Cross multiply
    3,407.34x = 4,704.96 × 2,150.46
  4. Step 4: Simplify right side
    3,407.34x = 10,117,828.28
  5. Step 5: Solve for x
    x = 10,117,828.28/3,407.34
  6. Step 6: Final answer
    x = 2,969.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.