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Finding the Fourth Proportional to 1,632.45, 2,253.83 and 1,258.74

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Solution

The fourth proportional to 1,632.45, 2,253.83 and 1,258.74 is: 1,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.45 : 2,253.83 = 1,258.74 : x
  2. Step 2: Convert to fraction form
    1,632.45/2,253.83 = 1,258.74/x
  3. Step 3: Cross multiply
    1,632.45x = 2,253.83 × 1,258.74
  4. Step 4: Simplify right side
    1,632.45x = 2,836,979.68
  5. Step 5: Solve for x
    x = 2,836,979.68/1,632.45
  6. Step 6: Final answer
    x = 1,737.87

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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.