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Finding the Fourth Proportional to 2,094, 2,902.60 and 2,059.14

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Solution

The fourth proportional to 2,094, 2,902.60 and 2,059.14 is: 2,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094 : 2,902.60 = 2,059.14 : x
  2. Step 2: Convert to fraction form
    2,094/2,902.60 = 2,059.14/x
  3. Step 3: Cross multiply
    2,094x = 2,902.60 × 2,059.14
  4. Step 4: Simplify right side
    2,094x = 5,976,859.76
  5. Step 5: Solve for x
    x = 5,976,859.76/2,094
  6. Step 6: Final answer
    x = 2,854.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.