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Finding the Fourth Proportional to 2,201.37, 3,036.15 and 1,563

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Solution

The fourth proportional to 2,201.37, 3,036.15 and 1,563 is: 2,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.37 : 3,036.15 = 1,563 : x
  2. Step 2: Convert to fraction form
    2,201.37/3,036.15 = 1,563/x
  3. Step 3: Cross multiply
    2,201.37x = 3,036.15 × 1,563
  4. Step 4: Simplify right side
    2,201.37x = 4,745,502.45
  5. Step 5: Solve for x
    x = 4,745,502.45/2,201.37
  6. Step 6: Final answer
    x = 2,155.70

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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.