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Finding the Fourth Proportional to 2,085.34, 2,878.05 and 1,201.15

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Solution

The fourth proportional to 2,085.34, 2,878.05 and 1,201.15 is: 1,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.34 : 2,878.05 = 1,201.15 : x
  2. Step 2: Convert to fraction form
    2,085.34/2,878.05 = 1,201.15/x
  3. Step 3: Cross multiply
    2,085.34x = 2,878.05 × 1,201.15
  4. Step 4: Simplify right side
    2,085.34x = 3,456,969.76
  5. Step 5: Solve for x
    x = 3,456,969.76/2,085.34
  6. Step 6: Final answer
    x = 1,657.75

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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.