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Finding the Fourth Proportional to 2,010.80, 2,771.70 and 1,696.52

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Solution

The fourth proportional to 2,010.80, 2,771.70 and 1,696.52 is: 2,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.80 : 2,771.70 = 1,696.52 : x
  2. Step 2: Convert to fraction form
    2,010.80/2,771.70 = 1,696.52/x
  3. Step 3: Cross multiply
    2,010.80x = 2,771.70 × 1,696.52
  4. Step 4: Simplify right side
    2,010.80x = 4,702,244.48
  5. Step 5: Solve for x
    x = 4,702,244.48/2,010.80
  6. Step 6: Final answer
    x = 2,338.49

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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.