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Finding the Fourth Proportional to 1,601.42, 2,209.92 and 893.24

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Solution

The fourth proportional to 1,601.42, 2,209.92 and 893.24 is: 1,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.42 : 2,209.92 = 893.24 : x
  2. Step 2: Convert to fraction form
    1,601.42/2,209.92 = 893.24/x
  3. Step 3: Cross multiply
    1,601.42x = 2,209.92 × 893.24
  4. Step 4: Simplify right side
    1,601.42x = 1,973,988.94
  5. Step 5: Solve for x
    x = 1,973,988.94/1,601.42
  6. Step 6: Final answer
    x = 1,232.65

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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.