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Finding the Fourth Proportional to 1,553.85, 2,143.78 and 1,055.62

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Solution

The fourth proportional to 1,553.85, 2,143.78 and 1,055.62 is: 1,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.85 : 2,143.78 = 1,055.62 : x
  2. Step 2: Convert to fraction form
    1,553.85/2,143.78 = 1,055.62/x
  3. Step 3: Cross multiply
    1,553.85x = 2,143.78 × 1,055.62
  4. Step 4: Simplify right side
    1,553.85x = 2,263,006.32
  5. Step 5: Solve for x
    x = 2,263,006.32/1,553.85
  6. Step 6: Final answer
    x = 1,456.39

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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.