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Finding the Fourth Proportional to 2,995.14, 4,133.38 and 1,736.20

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Solution

The fourth proportional to 2,995.14, 4,133.38 and 1,736.20 is: 2,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.14 : 4,133.38 = 1,736.20 : x
  2. Step 2: Convert to fraction form
    2,995.14/4,133.38 = 1,736.20/x
  3. Step 3: Cross multiply
    2,995.14x = 4,133.38 × 1,736.20
  4. Step 4: Simplify right side
    2,995.14x = 7,176,374.36
  5. Step 5: Solve for x
    x = 7,176,374.36/2,995.14
  6. Step 6: Final answer
    x = 2,396.01

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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.