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Finding the Fourth Proportional to 1,553.45, 2,143.77 and 890.33

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Solution

The fourth proportional to 1,553.45, 2,143.77 and 890.33 is: 1,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.45 : 2,143.77 = 890.33 : x
  2. Step 2: Convert to fraction form
    1,553.45/2,143.77 = 890.33/x
  3. Step 3: Cross multiply
    1,553.45x = 2,143.77 × 890.33
  4. Step 4: Simplify right side
    1,553.45x = 1,908,662.74
  5. Step 5: Solve for x
    x = 1,908,662.74/1,553.45
  6. Step 6: Final answer
    x = 1,228.66

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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.