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Finding the Fourth Proportional to 2,645.67, 3,651.14 and 1,466.66

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Solution

The fourth proportional to 2,645.67, 3,651.14 and 1,466.66 is: 2,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.67 : 3,651.14 = 1,466.66 : x
  2. Step 2: Convert to fraction form
    2,645.67/3,651.14 = 1,466.66/x
  3. Step 3: Cross multiply
    2,645.67x = 3,651.14 × 1,466.66
  4. Step 4: Simplify right side
    2,645.67x = 5,354,980.99
  5. Step 5: Solve for x
    x = 5,354,980.99/2,645.67
  6. Step 6: Final answer
    x = 2,024.05

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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.