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Finding the Fourth Proportional to 2,626.98, 3,625.05 and 1,448.05

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Solution

The fourth proportional to 2,626.98, 3,625.05 and 1,448.05 is: 1,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.98 : 3,625.05 = 1,448.05 : x
  2. Step 2: Convert to fraction form
    2,626.98/3,625.05 = 1,448.05/x
  3. Step 3: Cross multiply
    2,626.98x = 3,625.05 × 1,448.05
  4. Step 4: Simplify right side
    2,626.98x = 5,249,244.59
  5. Step 5: Solve for x
    x = 5,249,244.59/2,626.98
  6. Step 6: Final answer
    x = 1,998.21

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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.