Home / 2,094-2,895.18-2,002.20

Finding the Fourth Proportional to 2,094, 2,895.18 and 2,002.20

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Solution

The fourth proportional to 2,094, 2,895.18 and 2,002.20 is: 2,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094 : 2,895.18 = 2,002.20 : x
  2. Step 2: Convert to fraction form
    2,094/2,895.18 = 2,002.20/x
  3. Step 3: Cross multiply
    2,094x = 2,895.18 × 2,002.20
  4. Step 4: Simplify right side
    2,094x = 5,796,729.40
  5. Step 5: Solve for x
    x = 5,796,729.40/2,094
  6. Step 6: Final answer
    x = 2,768.26

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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.