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Finding the Fourth Proportional to 1,601.29, 2,209.70 and 893.21

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Solution

The fourth proportional to 1,601.29, 2,209.70 and 893.21 is: 1,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.29 : 2,209.70 = 893.21 : x
  2. Step 2: Convert to fraction form
    1,601.29/2,209.70 = 893.21/x
  3. Step 3: Cross multiply
    1,601.29x = 2,209.70 × 893.21
  4. Step 4: Simplify right side
    1,601.29x = 1,973,726.14
  5. Step 5: Solve for x
    x = 1,973,726.14/1,601.29
  6. Step 6: Final answer
    x = 1,232.59

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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.