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Finding the Fourth Proportional to 2,840.90, 4,258.20 and 1,196.96

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Solution

The fourth proportional to 2,840.90, 4,258.20 and 1,196.96 is: 1,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.90 : 4,258.20 = 1,196.96 : x
  2. Step 2: Convert to fraction form
    2,840.90/4,258.20 = 1,196.96/x
  3. Step 3: Cross multiply
    2,840.90x = 4,258.20 × 1,196.96
  4. Step 4: Simplify right side
    2,840.90x = 5,096,895.07
  5. Step 5: Solve for x
    x = 5,096,895.07/2,840.90
  6. Step 6: Final answer
    x = 1,794.11

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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.