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Finding the Fourth Proportional to 3,274.02, 4,906.47 and 1,710.92

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Solution

The fourth proportional to 3,274.02, 4,906.47 and 1,710.92 is: 2,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.02 : 4,906.47 = 1,710.92 : x
  2. Step 2: Convert to fraction form
    3,274.02/4,906.47 = 1,710.92/x
  3. Step 3: Cross multiply
    3,274.02x = 4,906.47 × 1,710.92
  4. Step 4: Simplify right side
    3,274.02x = 8,394,577.65
  5. Step 5: Solve for x
    x = 8,394,577.65/3,274.02
  6. Step 6: Final answer
    x = 2,564.00

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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.