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Finding the Fourth Proportional to 1,890.00, 2,834.68 and 573.43

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Solution

The fourth proportional to 1,890.00, 2,834.68 and 573.43 is: 860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.00 : 2,834.68 = 573.43 : x
  2. Step 2: Convert to fraction form
    1,890.00/2,834.68 = 573.43/x
  3. Step 3: Cross multiply
    1,890.00x = 2,834.68 × 573.43
  4. Step 4: Simplify right side
    1,890.00x = 1,625,500.17
  5. Step 5: Solve for x
    x = 1,625,500.17/1,890.00
  6. Step 6: Final answer
    x = 860.05

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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.