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Finding the Fourth Proportional to 1,983.90, 2,980.44 and 1,245.81

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Solution

The fourth proportional to 1,983.90, 2,980.44 and 1,245.81 is: 1,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.90 : 2,980.44 = 1,245.81 : x
  2. Step 2: Convert to fraction form
    1,983.90/2,980.44 = 1,245.81/x
  3. Step 3: Cross multiply
    1,983.90x = 2,980.44 × 1,245.81
  4. Step 4: Simplify right side
    1,983.90x = 3,713,061.96
  5. Step 5: Solve for x
    x = 3,713,061.96/1,983.90
  6. Step 6: Final answer
    x = 1,871.60

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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.