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Finding the Fourth Proportional to 2,085.54, 2,877.42 and 1,201.17

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Solution

The fourth proportional to 2,085.54, 2,877.42 and 1,201.17 is: 1,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.54 : 2,877.42 = 1,201.17 : x
  2. Step 2: Convert to fraction form
    2,085.54/2,877.42 = 1,201.17/x
  3. Step 3: Cross multiply
    2,085.54x = 2,877.42 × 1,201.17
  4. Step 4: Simplify right side
    2,085.54x = 3,456,270.58
  5. Step 5: Solve for x
    x = 3,456,270.58/2,085.54
  6. Step 6: Final answer
    x = 1,657.25

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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.