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Finding the Fourth Proportional to 1,898, 2,845.98 and 648.22

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Solution

The fourth proportional to 1,898, 2,845.98 and 648.22 is: 971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898 : 2,845.98 = 648.22 : x
  2. Step 2: Convert to fraction form
    1,898/2,845.98 = 648.22/x
  3. Step 3: Cross multiply
    1,898x = 2,845.98 × 648.22
  4. Step 4: Simplify right side
    1,898x = 1,844,817.91
  5. Step 5: Solve for x
    x = 1,844,817.91/1,898
  6. Step 6: Final answer
    x = 971.98

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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.