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Finding the Fourth Proportional to 2,626.95, 3,625.14 and 1,448.03

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Solution

The fourth proportional to 2,626.95, 3,625.14 and 1,448.03 is: 1,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.95 : 3,625.14 = 1,448.03 : x
  2. Step 2: Convert to fraction form
    2,626.95/3,625.14 = 1,448.03/x
  3. Step 3: Cross multiply
    2,626.95x = 3,625.14 × 1,448.03
  4. Step 4: Simplify right side
    2,626.95x = 5,249,293.35
  5. Step 5: Solve for x
    x = 5,249,293.35/2,626.95
  6. Step 6: Final answer
    x = 1,998.25

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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.