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Finding the Fourth Proportional to 1,617.95, 2,232.75 and 919.32

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Solution

The fourth proportional to 1,617.95, 2,232.75 and 919.32 is: 1,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.95 : 2,232.75 = 919.32 : x
  2. Step 2: Convert to fraction form
    1,617.95/2,232.75 = 919.32/x
  3. Step 3: Cross multiply
    1,617.95x = 2,232.75 × 919.32
  4. Step 4: Simplify right side
    1,617.95x = 2,052,611.73
  5. Step 5: Solve for x
    x = 2,052,611.73/1,617.95
  6. Step 6: Final answer
    x = 1,268.65

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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.