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Finding the Fourth Proportional to 2,093.40, 3,141.12 and 982.35

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Solution

The fourth proportional to 2,093.40, 3,141.12 and 982.35 is: 1,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.40 : 3,141.12 = 982.35 : x
  2. Step 2: Convert to fraction form
    2,093.40/3,141.12 = 982.35/x
  3. Step 3: Cross multiply
    2,093.40x = 3,141.12 × 982.35
  4. Step 4: Simplify right side
    2,093.40x = 3,085,679.23
  5. Step 5: Solve for x
    x = 3,085,679.23/2,093.40
  6. Step 6: Final answer
    x = 1,474.00

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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.