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Finding the Fourth Proportional to 2,059.26, 3,100.07 and 1,880.70

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Solution

The fourth proportional to 2,059.26, 3,100.07 and 1,880.70 is: 2,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.26 : 3,100.07 = 1,880.70 : x
  2. Step 2: Convert to fraction form
    2,059.26/3,100.07 = 1,880.70/x
  3. Step 3: Cross multiply
    2,059.26x = 3,100.07 × 1,880.70
  4. Step 4: Simplify right side
    2,059.26x = 5,830,292.25
  5. Step 5: Solve for x
    x = 5,830,292.25/2,059.26
  6. Step 6: Final answer
    x = 2,831.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.