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Finding the Fourth Proportional to 1,616.76, 2,232.36 and 1,613.52

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Solution

The fourth proportional to 1,616.76, 2,232.36 and 1,613.52 is: 2,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.76 : 2,232.36 = 1,613.52 : x
  2. Step 2: Convert to fraction form
    1,616.76/2,232.36 = 1,613.52/x
  3. Step 3: Cross multiply
    1,616.76x = 2,232.36 × 1,613.52
  4. Step 4: Simplify right side
    1,616.76x = 3,601,957.51
  5. Step 5: Solve for x
    x = 3,601,957.51/1,616.76
  6. Step 6: Final answer
    x = 2,227.89

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Half scale
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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.