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Finding the Fourth Proportional to 1,982.09, 2,972.23 and 594.95

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Solution

The fourth proportional to 1,982.09, 2,972.23 and 594.95 is: 892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.09 : 2,972.23 = 594.95 : x
  2. Step 2: Convert to fraction form
    1,982.09/2,972.23 = 594.95/x
  3. Step 3: Cross multiply
    1,982.09x = 2,972.23 × 594.95
  4. Step 4: Simplify right side
    1,982.09x = 1,768,311.89
  5. Step 5: Solve for x
    x = 1,768,311.89/1,982.09
  6. Step 6: Final answer
    x = 892.14

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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.