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Finding the Fourth Proportional to 2,085.89, 2,879.64 and 1,330.43

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Solution

The fourth proportional to 2,085.89, 2,879.64 and 1,330.43 is: 1,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.89 : 2,879.64 = 1,330.43 : x
  2. Step 2: Convert to fraction form
    2,085.89/2,879.64 = 1,330.43/x
  3. Step 3: Cross multiply
    2,085.89x = 2,879.64 × 1,330.43
  4. Step 4: Simplify right side
    2,085.89x = 3,831,145.05
  5. Step 5: Solve for x
    x = 3,831,145.05/2,085.89
  6. Step 6: Final answer
    x = 1,836.70

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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.