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Finding the Fourth Proportional to 2,085.57, 2,879.01 and 1,300.14

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Solution

The fourth proportional to 2,085.57, 2,879.01 and 1,300.14 is: 1,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.57 : 2,879.01 = 1,300.14 : x
  2. Step 2: Convert to fraction form
    2,085.57/2,879.01 = 1,300.14/x
  3. Step 3: Cross multiply
    2,085.57x = 2,879.01 × 1,300.14
  4. Step 4: Simplify right side
    2,085.57x = 3,743,116.06
  5. Step 5: Solve for x
    x = 3,743,116.06/2,085.57
  6. Step 6: Final answer
    x = 1,794.77

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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.