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Finding the Fourth Proportional to 1,896.76, 2,845.14 and 598.33

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Solution

The fourth proportional to 1,896.76, 2,845.14 and 598.33 is: 897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.76 : 2,845.14 = 598.33 : x
  2. Step 2: Convert to fraction form
    1,896.76/2,845.14 = 598.33/x
  3. Step 3: Cross multiply
    1,896.76x = 2,845.14 × 598.33
  4. Step 4: Simplify right side
    1,896.76x = 1,702,324.01
  5. Step 5: Solve for x
    x = 1,702,324.01/1,896.76
  6. Step 6: Final answer
    x = 897.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.