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Finding the Fourth Proportional to 1,554.26, 2,145 and 855.76

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Solution

The fourth proportional to 1,554.26, 2,145 and 855.76 is: 1,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.26 : 2,145 = 855.76 : x
  2. Step 2: Convert to fraction form
    1,554.26/2,145 = 855.76/x
  3. Step 3: Cross multiply
    1,554.26x = 2,145 × 855.76
  4. Step 4: Simplify right side
    1,554.26x = 1,835,605.20
  5. Step 5: Solve for x
    x = 1,835,605.20/1,554.26
  6. Step 6: Final answer
    x = 1,181.02

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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.