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Finding the Fourth Proportional to 2,076.73, 2,865.80 and 1,237.23

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Solution

The fourth proportional to 2,076.73, 2,865.80 and 1,237.23 is: 1,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.73 : 2,865.80 = 1,237.23 : x
  2. Step 2: Convert to fraction form
    2,076.73/2,865.80 = 1,237.23/x
  3. Step 3: Cross multiply
    2,076.73x = 2,865.80 × 1,237.23
  4. Step 4: Simplify right side
    2,076.73x = 3,545,656.83
  5. Step 5: Solve for x
    x = 3,545,656.83/2,076.73
  6. Step 6: Final answer
    x = 1,707.33

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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.