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Finding the Fourth Proportional to 2,838.83, 4,258.44 and 989.71

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Solution

The fourth proportional to 2,838.83, 4,258.44 and 989.71 is: 1,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.83 : 4,258.44 = 989.71 : x
  2. Step 2: Convert to fraction form
    2,838.83/4,258.44 = 989.71/x
  3. Step 3: Cross multiply
    2,838.83x = 4,258.44 × 989.71
  4. Step 4: Simplify right side
    2,838.83x = 4,214,610.01
  5. Step 5: Solve for x
    x = 4,214,610.01/2,838.83
  6. Step 6: Final answer
    x = 1,484.63

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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.