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Finding the Fourth Proportional to 2,253.39, 3,375.21 and 1,429.62

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Solution

The fourth proportional to 2,253.39, 3,375.21 and 1,429.62 is: 2,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.39 : 3,375.21 = 1,429.62 : x
  2. Step 2: Convert to fraction form
    2,253.39/3,375.21 = 1,429.62/x
  3. Step 3: Cross multiply
    2,253.39x = 3,375.21 × 1,429.62
  4. Step 4: Simplify right side
    2,253.39x = 4,825,267.72
  5. Step 5: Solve for x
    x = 4,825,267.72/2,253.39
  6. Step 6: Final answer
    x = 2,141.34

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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.