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Finding the Fourth Proportional to 1,825.71, 2,738.60 and 593.13

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Solution

The fourth proportional to 1,825.71, 2,738.60 and 593.13 is: 889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.71 : 2,738.60 = 593.13 : x
  2. Step 2: Convert to fraction form
    1,825.71/2,738.60 = 593.13/x
  3. Step 3: Cross multiply
    1,825.71x = 2,738.60 × 593.13
  4. Step 4: Simplify right side
    1,825.71x = 1,624,345.82
  5. Step 5: Solve for x
    x = 1,624,345.82/1,825.71
  6. Step 6: Final answer
    x = 889.71

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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.