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Finding the Fourth Proportional to 2,627.88, 3,626.40 and 1,448.92

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Solution

The fourth proportional to 2,627.88, 3,626.40 and 1,448.92 is: 1,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.88 : 3,626.40 = 1,448.92 : x
  2. Step 2: Convert to fraction form
    2,627.88/3,626.40 = 1,448.92/x
  3. Step 3: Cross multiply
    2,627.88x = 3,626.40 × 1,448.92
  4. Step 4: Simplify right side
    2,627.88x = 5,254,363.49
  5. Step 5: Solve for x
    x = 5,254,363.49/2,627.88
  6. Step 6: Final answer
    x = 1,999.47

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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.