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Finding the Fourth Proportional to 1,554.23, 2,144.84 and 855.61

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Solution

The fourth proportional to 1,554.23, 2,144.84 and 855.61 is: 1,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.23 : 2,144.84 = 855.61 : x
  2. Step 2: Convert to fraction form
    1,554.23/2,144.84 = 855.61/x
  3. Step 3: Cross multiply
    1,554.23x = 2,144.84 × 855.61
  4. Step 4: Simplify right side
    1,554.23x = 1,835,136.91
  5. Step 5: Solve for x
    x = 1,835,136.91/1,554.23
  6. Step 6: Final answer
    x = 1,180.74

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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.