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Finding the Fourth Proportional to 1,632.42, 2,251.22 and 1,258.81

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Solution

The fourth proportional to 1,632.42, 2,251.22 and 1,258.81 is: 1,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.42 : 2,251.22 = 1,258.81 : x
  2. Step 2: Convert to fraction form
    1,632.42/2,251.22 = 1,258.81/x
  3. Step 3: Cross multiply
    1,632.42x = 2,251.22 × 1,258.81
  4. Step 4: Simplify right side
    1,632.42x = 2,833,854.77
  5. Step 5: Solve for x
    x = 2,833,854.77/1,632.42
  6. Step 6: Final answer
    x = 1,735.98

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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.