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Finding the Fourth Proportional to 2,972.54, 4,100 and 1,977.32

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Solution

The fourth proportional to 2,972.54, 4,100 and 1,977.32 is: 2,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.54 : 4,100 = 1,977.32 : x
  2. Step 2: Convert to fraction form
    2,972.54/4,100 = 1,977.32/x
  3. Step 3: Cross multiply
    2,972.54x = 4,100 × 1,977.32
  4. Step 4: Simplify right side
    2,972.54x = 8,107,012
  5. Step 5: Solve for x
    x = 8,107,012/2,972.54
  6. Step 6: Final answer
    x = 2,727.30

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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.