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Finding the Fourth Proportional to 2,181.67, 3,010.71 and 1,237.48

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Solution

The fourth proportional to 2,181.67, 3,010.71 and 1,237.48 is: 1,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.67 : 3,010.71 = 1,237.48 : x
  2. Step 2: Convert to fraction form
    2,181.67/3,010.71 = 1,237.48/x
  3. Step 3: Cross multiply
    2,181.67x = 3,010.71 × 1,237.48
  4. Step 4: Simplify right side
    2,181.67x = 3,725,693.41
  5. Step 5: Solve for x
    x = 3,725,693.41/2,181.67
  6. Step 6: Final answer
    x = 1,707.73

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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.