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Finding the Fourth Proportional to 1,895.79, 2,843.73 and 598.17

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Solution

The fourth proportional to 1,895.79, 2,843.73 and 598.17 is: 897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.79 : 2,843.73 = 598.17 : x
  2. Step 2: Convert to fraction form
    1,895.79/2,843.73 = 598.17/x
  3. Step 3: Cross multiply
    1,895.79x = 2,843.73 × 598.17
  4. Step 4: Simplify right side
    1,895.79x = 1,701,033.97
  5. Step 5: Solve for x
    x = 1,701,033.97/1,895.79
  6. Step 6: Final answer
    x = 897.27

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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.