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Finding the Fourth Proportional to 2,087.79, 3,113.27 and 2,069.04

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Solution

The fourth proportional to 2,087.79, 3,113.27 and 2,069.04 is: 3,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.79 : 3,113.27 = 2,069.04 : x
  2. Step 2: Convert to fraction form
    2,087.79/3,113.27 = 2,069.04/x
  3. Step 3: Cross multiply
    2,087.79x = 3,113.27 × 2,069.04
  4. Step 4: Simplify right side
    2,087.79x = 6,441,481.49
  5. Step 5: Solve for x
    x = 6,441,481.49/2,087.79
  6. Step 6: Final answer
    x = 3,085.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.