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Finding the Fourth Proportional to 2,616.51, 3,613.13 and 1,952.21

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Solution

The fourth proportional to 2,616.51, 3,613.13 and 1,952.21 is: 2,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.51 : 3,613.13 = 1,952.21 : x
  2. Step 2: Convert to fraction form
    2,616.51/3,613.13 = 1,952.21/x
  3. Step 3: Cross multiply
    2,616.51x = 3,613.13 × 1,952.21
  4. Step 4: Simplify right side
    2,616.51x = 7,053,560.69
  5. Step 5: Solve for x
    x = 7,053,560.69/2,616.51
  6. Step 6: Final answer
    x = 2,695.79

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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.