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Finding the Fourth Proportional to 2,111.61, 2,913.98 and 1,227.41

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Solution

The fourth proportional to 2,111.61, 2,913.98 and 1,227.41 is: 1,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.61 : 2,913.98 = 1,227.41 : x
  2. Step 2: Convert to fraction form
    2,111.61/2,913.98 = 1,227.41/x
  3. Step 3: Cross multiply
    2,111.61x = 2,913.98 × 1,227.41
  4. Step 4: Simplify right side
    2,111.61x = 3,576,627.48
  5. Step 5: Solve for x
    x = 3,576,627.48/2,111.61
  6. Step 6: Final answer
    x = 1,693.79

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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.