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Finding the Fourth Proportional to 3,184.76, 4,773.52 and 1,431.20

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Solution

The fourth proportional to 3,184.76, 4,773.52 and 1,431.20 is: 2,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.76 : 4,773.52 = 1,431.20 : x
  2. Step 2: Convert to fraction form
    3,184.76/4,773.52 = 1,431.20/x
  3. Step 3: Cross multiply
    3,184.76x = 4,773.52 × 1,431.20
  4. Step 4: Simplify right side
    3,184.76x = 6,831,861.82
  5. Step 5: Solve for x
    x = 6,831,861.82/3,184.76
  6. Step 6: Final answer
    x = 2,145.17

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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.