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Finding the Fourth Proportional to 2,166.75, 2,992.55 and 1,466.91

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Solution

The fourth proportional to 2,166.75, 2,992.55 and 1,466.91 is: 2,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 2,992.55 = 1,466.91 : x
  2. Step 2: Convert to fraction form
    2,166.75/2,992.55 = 1,466.91/x
  3. Step 3: Cross multiply
    2,166.75x = 2,992.55 × 1,466.91
  4. Step 4: Simplify right side
    2,166.75x = 4,389,794.19
  5. Step 5: Solve for x
    x = 4,389,794.19/2,166.75
  6. Step 6: Final answer
    x = 2,025.98

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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.