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Finding the Fourth Proportional to 2,480.25, 3,706.65 and 1,991.01

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Solution

The fourth proportional to 2,480.25, 3,706.65 and 1,991.01 is: 2,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.25 : 3,706.65 = 1,991.01 : x
  2. Step 2: Convert to fraction form
    2,480.25/3,706.65 = 1,991.01/x
  3. Step 3: Cross multiply
    2,480.25x = 3,706.65 × 1,991.01
  4. Step 4: Simplify right side
    2,480.25x = 7,379,977.22
  5. Step 5: Solve for x
    x = 7,379,977.22/2,480.25
  6. Step 6: Final answer
    x = 2,975.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.