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Finding the Fourth Proportional to 1,612.28, 2,224.69 and 904.03

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Solution

The fourth proportional to 1,612.28, 2,224.69 and 904.03 is: 1,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.28 : 2,224.69 = 904.03 : x
  2. Step 2: Convert to fraction form
    1,612.28/2,224.69 = 904.03/x
  3. Step 3: Cross multiply
    1,612.28x = 2,224.69 × 904.03
  4. Step 4: Simplify right side
    1,612.28x = 2,011,178.68
  5. Step 5: Solve for x
    x = 2,011,178.68/1,612.28
  6. Step 6: Final answer
    x = 1,247.41

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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.