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Finding the Fourth Proportional to 1,612.64, 2,226.20 and 949.28

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Solution

The fourth proportional to 1,612.64, 2,226.20 and 949.28 is: 1,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.64 : 2,226.20 = 949.28 : x
  2. Step 2: Convert to fraction form
    1,612.64/2,226.20 = 949.28/x
  3. Step 3: Cross multiply
    1,612.64x = 2,226.20 × 949.28
  4. Step 4: Simplify right side
    1,612.64x = 2,113,287.14
  5. Step 5: Solve for x
    x = 2,113,287.14/1,612.64
  6. Step 6: Final answer
    x = 1,310.45

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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.