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Finding the Fourth Proportional to 2,087.98, 2,879.03 and 1,563.10

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Solution

The fourth proportional to 2,087.98, 2,879.03 and 1,563.10 is: 2,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.98 : 2,879.03 = 1,563.10 : x
  2. Step 2: Convert to fraction form
    2,087.98/2,879.03 = 1,563.10/x
  3. Step 3: Cross multiply
    2,087.98x = 2,879.03 × 1,563.10
  4. Step 4: Simplify right side
    2,087.98x = 4,500,208.50
  5. Step 5: Solve for x
    x = 4,500,208.50/2,087.98
  6. Step 6: Final answer
    x = 2,155.30

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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.