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Finding the Fourth Proportional to 1,583.01, 2,184.07 and 919.73

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Solution

The fourth proportional to 1,583.01, 2,184.07 and 919.73 is: 1,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.01 : 2,184.07 = 919.73 : x
  2. Step 2: Convert to fraction form
    1,583.01/2,184.07 = 919.73/x
  3. Step 3: Cross multiply
    1,583.01x = 2,184.07 × 919.73
  4. Step 4: Simplify right side
    1,583.01x = 2,008,754.70
  5. Step 5: Solve for x
    x = 2,008,754.70/1,583.01
  6. Step 6: Final answer
    x = 1,268.95

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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.