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Finding the Fourth Proportional to 2,984.88, 4,119.44 and 1,726

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Solution

The fourth proportional to 2,984.88, 4,119.44 and 1,726 is: 2,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.88 : 4,119.44 = 1,726 : x
  2. Step 2: Convert to fraction form
    2,984.88/4,119.44 = 1,726/x
  3. Step 3: Cross multiply
    2,984.88x = 4,119.44 × 1,726
  4. Step 4: Simplify right side
    2,984.88x = 7,110,153.44
  5. Step 5: Solve for x
    x = 7,110,153.44/2,984.88
  6. Step 6: Final answer
    x = 2,382.06

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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.