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Finding the Fourth Proportional to 1,983.72, 2,977.98 and 1,905.42

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Solution

The fourth proportional to 1,983.72, 2,977.98 and 1,905.42 is: 2,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.72 : 2,977.98 = 1,905.42 : x
  2. Step 2: Convert to fraction form
    1,983.72/2,977.98 = 1,905.42/x
  3. Step 3: Cross multiply
    1,983.72x = 2,977.98 × 1,905.42
  4. Step 4: Simplify right side
    1,983.72x = 5,674,302.65
  5. Step 5: Solve for x
    x = 5,674,302.65/1,983.72
  6. Step 6: Final answer
    x = 2,860.44

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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.