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Finding the Fourth Proportional to 1,977.66, 2,727.81 and 1,452.78

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Solution

The fourth proportional to 1,977.66, 2,727.81 and 1,452.78 is: 2,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.66 : 2,727.81 = 1,452.78 : x
  2. Step 2: Convert to fraction form
    1,977.66/2,727.81 = 1,452.78/x
  3. Step 3: Cross multiply
    1,977.66x = 2,727.81 × 1,452.78
  4. Step 4: Simplify right side
    1,977.66x = 3,962,907.81
  5. Step 5: Solve for x
    x = 3,962,907.81/1,977.66
  6. Step 6: Final answer
    x = 2,003.84

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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.