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Finding the Fourth Proportional to 3,295.94, 4,548.38 and 1,969.58

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Solution

The fourth proportional to 3,295.94, 4,548.38 and 1,969.58 is: 2,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.94 : 4,548.38 = 1,969.58 : x
  2. Step 2: Convert to fraction form
    3,295.94/4,548.38 = 1,969.58/x
  3. Step 3: Cross multiply
    3,295.94x = 4,548.38 × 1,969.58
  4. Step 4: Simplify right side
    3,295.94x = 8,958,398.28
  5. Step 5: Solve for x
    x = 8,958,398.28/3,295.94
  6. Step 6: Final answer
    x = 2,718.01

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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.