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Finding the Fourth Proportional to 2,114.92, 2,920.98 and 1,786.12

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Solution

The fourth proportional to 2,114.92, 2,920.98 and 1,786.12 is: 2,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.92 : 2,920.98 = 1,786.12 : x
  2. Step 2: Convert to fraction form
    2,114.92/2,920.98 = 1,786.12/x
  3. Step 3: Cross multiply
    2,114.92x = 2,920.98 × 1,786.12
  4. Step 4: Simplify right side
    2,114.92x = 5,217,220.80
  5. Step 5: Solve for x
    x = 5,217,220.80/2,114.92
  6. Step 6: Final answer
    x = 2,466.86

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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.