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Finding the Fourth Proportional to 2,190.88, 3,022 and 1,306

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Solution

The fourth proportional to 2,190.88, 3,022 and 1,306 is: 1,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.88 : 3,022 = 1,306 : x
  2. Step 2: Convert to fraction form
    2,190.88/3,022 = 1,306/x
  3. Step 3: Cross multiply
    2,190.88x = 3,022 × 1,306
  4. Step 4: Simplify right side
    2,190.88x = 3,946,732
  5. Step 5: Solve for x
    x = 3,946,732/2,190.88
  6. Step 6: Final answer
    x = 1,801.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.