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Finding the Fourth Proportional to 1,416.92, 1,955.58 and 1,183.96

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Solution

The fourth proportional to 1,416.92, 1,955.58 and 1,183.96 is: 1,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.92 : 1,955.58 = 1,183.96 : x
  2. Step 2: Convert to fraction form
    1,416.92/1,955.58 = 1,183.96/x
  3. Step 3: Cross multiply
    1,416.92x = 1,955.58 × 1,183.96
  4. Step 4: Simplify right side
    1,416.92x = 2,315,328.50
  5. Step 5: Solve for x
    x = 2,315,328.50/1,416.92
  6. Step 6: Final answer
    x = 1,634.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.