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Finding the Fourth Proportional to 1,627.77, 2,245.77 and 919.51

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Solution

The fourth proportional to 1,627.77, 2,245.77 and 919.51 is: 1,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.77 : 2,245.77 = 919.51 : x
  2. Step 2: Convert to fraction form
    1,627.77/2,245.77 = 919.51/x
  3. Step 3: Cross multiply
    1,627.77x = 2,245.77 × 919.51
  4. Step 4: Simplify right side
    1,627.77x = 2,065,007.97
  5. Step 5: Solve for x
    x = 2,065,007.97/1,627.77
  6. Step 6: Final answer
    x = 1,268.61

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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.