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Finding the Fourth Proportional to 1,416.92, 2,133.72 and 1,236.44

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Solution

The fourth proportional to 1,416.92, 2,133.72 and 1,236.44 is: 1,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.92 : 2,133.72 = 1,236.44 : x
  2. Step 2: Convert to fraction form
    1,416.92/2,133.72 = 1,236.44/x
  3. Step 3: Cross multiply
    1,416.92x = 2,133.72 × 1,236.44
  4. Step 4: Simplify right side
    1,416.92x = 2,638,216.76
  5. Step 5: Solve for x
    x = 2,638,216.76/1,416.92
  6. Step 6: Final answer
    x = 1,861.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.