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Finding the Fourth Proportional to 2,224.64, 3,336.54 and 1,054.16

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Solution

The fourth proportional to 2,224.64, 3,336.54 and 1,054.16 is: 1,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.64 : 3,336.54 = 1,054.16 : x
  2. Step 2: Convert to fraction form
    2,224.64/3,336.54 = 1,054.16/x
  3. Step 3: Cross multiply
    2,224.64x = 3,336.54 × 1,054.16
  4. Step 4: Simplify right side
    2,224.64x = 3,517,247.01
  5. Step 5: Solve for x
    x = 3,517,247.01/2,224.64
  6. Step 6: Final answer
    x = 1,581.04

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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.