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Finding the Fourth Proportional to 2,654.16, 3,662.28 and 1,659.12

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Solution

The fourth proportional to 2,654.16, 3,662.28 and 1,659.12 is: 2,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.16 : 3,662.28 = 1,659.12 : x
  2. Step 2: Convert to fraction form
    2,654.16/3,662.28 = 1,659.12/x
  3. Step 3: Cross multiply
    2,654.16x = 3,662.28 × 1,659.12
  4. Step 4: Simplify right side
    2,654.16x = 6,076,161.99
  5. Step 5: Solve for x
    x = 6,076,161.99/2,654.16
  6. Step 6: Final answer
    x = 2,289.30

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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.