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Finding the Fourth Proportional to 2,156.09, 3,231.08 and 983.21

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Solution

The fourth proportional to 2,156.09, 3,231.08 and 983.21 is: 1,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.09 : 3,231.08 = 983.21 : x
  2. Step 2: Convert to fraction form
    2,156.09/3,231.08 = 983.21/x
  3. Step 3: Cross multiply
    2,156.09x = 3,231.08 × 983.21
  4. Step 4: Simplify right side
    2,156.09x = 3,176,809.10
  5. Step 5: Solve for x
    x = 3,176,809.10/2,156.09
  6. Step 6: Final answer
    x = 1,473.42

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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.