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Finding the Fourth Proportional to 1,896.46, 2,845.29 and 598.18

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Solution

The fourth proportional to 1,896.46, 2,845.29 and 598.18 is: 897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.46 : 2,845.29 = 598.18 : x
  2. Step 2: Convert to fraction form
    1,896.46/2,845.29 = 598.18/x
  3. Step 3: Cross multiply
    1,896.46x = 2,845.29 × 598.18
  4. Step 4: Simplify right side
    1,896.46x = 1,701,995.57
  5. Step 5: Solve for x
    x = 1,701,995.57/1,896.46
  6. Step 6: Final answer
    x = 897.46

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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.