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Finding the Fourth Proportional to 2,627.87, 3,626.47 and 1,448.94

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Solution

The fourth proportional to 2,627.87, 3,626.47 and 1,448.94 is: 1,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.87 : 3,626.47 = 1,448.94 : x
  2. Step 2: Convert to fraction form
    2,627.87/3,626.47 = 1,448.94/x
  3. Step 3: Cross multiply
    2,627.87x = 3,626.47 × 1,448.94
  4. Step 4: Simplify right side
    2,627.87x = 5,254,537.44
  5. Step 5: Solve for x
    x = 5,254,537.44/2,627.87
  6. Step 6: Final answer
    x = 1,999.54

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1.5x scale

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.