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Finding the Fourth Proportional to 1,616.40, 2,230.62 and 917.64

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Solution

The fourth proportional to 1,616.40, 2,230.62 and 917.64 is: 1,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.40 : 2,230.62 = 917.64 : x
  2. Step 2: Convert to fraction form
    1,616.40/2,230.62 = 917.64/x
  3. Step 3: Cross multiply
    1,616.40x = 2,230.62 × 917.64
  4. Step 4: Simplify right side
    1,616.40x = 2,046,906.14
  5. Step 5: Solve for x
    x = 2,046,906.14/1,616.40
  6. Step 6: Final answer
    x = 1,266.34

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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.