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Finding the Fourth Proportional to 2,838.42, 4,258.22 and 890.82

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Solution

The fourth proportional to 2,838.42, 4,258.22 and 890.82 is: 1,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.42 : 4,258.22 = 890.82 : x
  2. Step 2: Convert to fraction form
    2,838.42/4,258.22 = 890.82/x
  3. Step 3: Cross multiply
    2,838.42x = 4,258.22 × 890.82
  4. Step 4: Simplify right side
    2,838.42x = 3,793,307.54
  5. Step 5: Solve for x
    x = 3,793,307.54/2,838.42
  6. Step 6: Final answer
    x = 1,336.42

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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.