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Finding the Fourth Proportional to 1,977.99, 2,728.45 and 1,643.52

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Solution

The fourth proportional to 1,977.99, 2,728.45 and 1,643.52 is: 2,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.99 : 2,728.45 = 1,643.52 : x
  2. Step 2: Convert to fraction form
    1,977.99/2,728.45 = 1,643.52/x
  3. Step 3: Cross multiply
    1,977.99x = 2,728.45 × 1,643.52
  4. Step 4: Simplify right side
    1,977.99x = 4,484,274.43
  5. Step 5: Solve for x
    x = 4,484,274.43/1,977.99
  6. Step 6: Final answer
    x = 2,267.09

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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.