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Finding the Fourth Proportional to 2,119.28, 3,179.06 and 559.32

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Solution

The fourth proportional to 2,119.28, 3,179.06 and 559.32 is: 839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.28 : 3,179.06 = 559.32 : x
  2. Step 2: Convert to fraction form
    2,119.28/3,179.06 = 559.32/x
  3. Step 3: Cross multiply
    2,119.28x = 3,179.06 × 559.32
  4. Step 4: Simplify right side
    2,119.28x = 1,778,111.84
  5. Step 5: Solve for x
    x = 1,778,111.84/2,119.28
  6. Step 6: Final answer
    x = 839.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.