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Finding the Fourth Proportional to 1,616.39, 2,230.64 and 917.63

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Solution

The fourth proportional to 1,616.39, 2,230.64 and 917.63 is: 1,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.39 : 2,230.64 = 917.63 : x
  2. Step 2: Convert to fraction form
    1,616.39/2,230.64 = 917.63/x
  3. Step 3: Cross multiply
    1,616.39x = 2,230.64 × 917.63
  4. Step 4: Simplify right side
    1,616.39x = 2,046,886.44
  5. Step 5: Solve for x
    x = 2,046,886.44/1,616.39
  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.