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Finding the Fourth Proportional to 2,085.60, 2,879.22 and 1,340.16

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Solution

The fourth proportional to 2,085.60, 2,879.22 and 1,340.16 is: 1,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.60 : 2,879.22 = 1,340.16 : x
  2. Step 2: Convert to fraction form
    2,085.60/2,879.22 = 1,340.16/x
  3. Step 3: Cross multiply
    2,085.60x = 2,879.22 × 1,340.16
  4. Step 4: Simplify right side
    2,085.60x = 3,858,615.48
  5. Step 5: Solve for x
    x = 3,858,615.48/2,085.60
  6. Step 6: Final answer
    x = 1,850.12

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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.