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Finding the Fourth Proportional to 3,221.60, 4,832.40 and 2,492.60

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Solution

The fourth proportional to 3,221.60, 4,832.40 and 2,492.60 is: 3,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.60 : 4,832.40 = 2,492.60 : x
  2. Step 2: Convert to fraction form
    3,221.60/4,832.40 = 2,492.60/x
  3. Step 3: Cross multiply
    3,221.60x = 4,832.40 × 2,492.60
  4. Step 4: Simplify right side
    3,221.60x = 12,045,240.24
  5. Step 5: Solve for x
    x = 12,045,240.24/3,221.60
  6. Step 6: Final answer
    x = 3,738.90

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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.