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Finding the Fourth Proportional to 2,860.90, 3,946.73 and 1,727.00

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Solution

The fourth proportional to 2,860.90, 3,946.73 and 1,727.00 is: 2,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.90 : 3,946.73 = 1,727.00 : x
  2. Step 2: Convert to fraction form
    2,860.90/3,946.73 = 1,727.00/x
  3. Step 3: Cross multiply
    2,860.90x = 3,946.73 × 1,727.00
  4. Step 4: Simplify right side
    2,860.90x = 6,816,016.89
  5. Step 5: Solve for x
    x = 6,816,016.89/2,860.90
  6. Step 6: Final answer
    x = 2,382.47

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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.