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Finding the Fourth Proportional to 3,196.64, 4,796.53 and 1,442.86

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Solution

The fourth proportional to 3,196.64, 4,796.53 and 1,442.86 is: 2,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.64 : 4,796.53 = 1,442.86 : x
  2. Step 2: Convert to fraction form
    3,196.64/4,796.53 = 1,442.86/x
  3. Step 3: Cross multiply
    3,196.64x = 4,796.53 × 1,442.86
  4. Step 4: Simplify right side
    3,196.64x = 6,920,705.68
  5. Step 5: Solve for x
    x = 6,920,705.68/3,196.64
  6. Step 6: Final answer
    x = 2,164.99

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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.