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Finding the Fourth Proportional to 2,251.64, 3,105.51 and 1,465.94

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Solution

The fourth proportional to 2,251.64, 3,105.51 and 1,465.94 is: 2,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.64 : 3,105.51 = 1,465.94 : x
  2. Step 2: Convert to fraction form
    2,251.64/3,105.51 = 1,465.94/x
  3. Step 3: Cross multiply
    2,251.64x = 3,105.51 × 1,465.94
  4. Step 4: Simplify right side
    2,251.64x = 4,552,491.33
  5. Step 5: Solve for x
    x = 4,552,491.33/2,251.64
  6. Step 6: Final answer
    x = 2,021.86

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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.