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Finding the Fourth Proportional to 2,085.39, 2,877.84 and 1,201.19

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Solution

The fourth proportional to 2,085.39, 2,877.84 and 1,201.19 is: 1,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.39 : 2,877.84 = 1,201.19 : x
  2. Step 2: Convert to fraction form
    2,085.39/2,877.84 = 1,201.19/x
  3. Step 3: Cross multiply
    2,085.39x = 2,877.84 × 1,201.19
  4. Step 4: Simplify right side
    2,085.39x = 3,456,835.32
  5. Step 5: Solve for x
    x = 3,456,835.32/2,085.39
  6. Step 6: Final answer
    x = 1,657.65

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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.