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Finding the Fourth Proportional to 2,654.06, 3,662.74 and 1,592.00

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Solution

The fourth proportional to 2,654.06, 3,662.74 and 1,592.00 is: 2,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.06 : 3,662.74 = 1,592.00 : x
  2. Step 2: Convert to fraction form
    2,654.06/3,662.74 = 1,592.00/x
  3. Step 3: Cross multiply
    2,654.06x = 3,662.74 × 1,592.00
  4. Step 4: Simplify right side
    2,654.06x = 5,831,079.49
  5. Step 5: Solve for x
    x = 5,831,079.49/2,654.06
  6. Step 6: Final answer
    x = 2,197.05

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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.