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Finding the Fourth Proportional to 1,977.37, 2,727.04 and 1,421.51

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Solution

The fourth proportional to 1,977.37, 2,727.04 and 1,421.51 is: 1,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.37 : 2,727.04 = 1,421.51 : x
  2. Step 2: Convert to fraction form
    1,977.37/2,727.04 = 1,421.51/x
  3. Step 3: Cross multiply
    1,977.37x = 2,727.04 × 1,421.51
  4. Step 4: Simplify right side
    1,977.37x = 3,876,497.44
  5. Step 5: Solve for x
    x = 3,876,497.44/1,977.37
  6. Step 6: Final answer
    x = 1,960.43

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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.