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Finding the Fourth Proportional to 2,085.45, 2,878.10 and 1,201.54

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Solution

The fourth proportional to 2,085.45, 2,878.10 and 1,201.54 is: 1,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.45 : 2,878.10 = 1,201.54 : x
  2. Step 2: Convert to fraction form
    2,085.45/2,878.10 = 1,201.54/x
  3. Step 3: Cross multiply
    2,085.45x = 2,878.10 × 1,201.54
  4. Step 4: Simplify right side
    2,085.45x = 3,458,131.88
  5. Step 5: Solve for x
    x = 3,458,131.88/2,085.45
  6. Step 6: Final answer
    x = 1,658.22

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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.