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Finding the Fourth Proportional to 1,891.53, 2,837.45 and 593.00

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Solution

The fourth proportional to 1,891.53, 2,837.45 and 593.00 is: 889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.53 : 2,837.45 = 593.00 : x
  2. Step 2: Convert to fraction form
    1,891.53/2,837.45 = 593.00/x
  3. Step 3: Cross multiply
    1,891.53x = 2,837.45 × 593.00
  4. Step 4: Simplify right side
    1,891.53x = 1,682,590.70
  5. Step 5: Solve for x
    x = 1,682,590.70/1,891.53
  6. Step 6: Final answer
    x = 889.54

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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.