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Finding the Fourth Proportional to 2,022.71, 3,035.98 and 983.27

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Solution

The fourth proportional to 2,022.71, 3,035.98 and 983.27 is: 1,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.71 : 3,035.98 = 983.27 : x
  2. Step 2: Convert to fraction form
    2,022.71/3,035.98 = 983.27/x
  3. Step 3: Cross multiply
    2,022.71x = 3,035.98 × 983.27
  4. Step 4: Simplify right side
    2,022.71x = 2,985,196.87
  5. Step 5: Solve for x
    x = 2,985,196.87/2,022.71
  6. Step 6: Final answer
    x = 1,475.84

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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.