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Finding the Fourth Proportional to 1,952.01, 2,694.24 and 1,636.77

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Solution

The fourth proportional to 1,952.01, 2,694.24 and 1,636.77 is: 2,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.01 : 2,694.24 = 1,636.77 : x
  2. Step 2: Convert to fraction form
    1,952.01/2,694.24 = 1,636.77/x
  3. Step 3: Cross multiply
    1,952.01x = 2,694.24 × 1,636.77
  4. Step 4: Simplify right side
    1,952.01x = 4,409,837.73
  5. Step 5: Solve for x
    x = 4,409,837.73/1,952.01
  6. Step 6: Final answer
    x = 2,259.13

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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.