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Finding the Fourth Proportional to 2,085.68, 2,878.44 and 1,201.76

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Solution

The fourth proportional to 2,085.68, 2,878.44 and 1,201.76 is: 1,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.68 : 2,878.44 = 1,201.76 : x
  2. Step 2: Convert to fraction form
    2,085.68/2,878.44 = 1,201.76/x
  3. Step 3: Cross multiply
    2,085.68x = 2,878.44 × 1,201.76
  4. Step 4: Simplify right side
    2,085.68x = 3,459,194.05
  5. Step 5: Solve for x
    x = 3,459,194.05/2,085.68
  6. Step 6: Final answer
    x = 1,658.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.