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Finding the Fourth Proportional to 1,651.69, 2,464.77 and 1,467.62

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Solution

The fourth proportional to 1,651.69, 2,464.77 and 1,467.62 is: 2,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.69 : 2,464.77 = 1,467.62 : x
  2. Step 2: Convert to fraction form
    1,651.69/2,464.77 = 1,467.62/x
  3. Step 3: Cross multiply
    1,651.69x = 2,464.77 × 1,467.62
  4. Step 4: Simplify right side
    1,651.69x = 3,617,326.09
  5. Step 5: Solve for x
    x = 3,617,326.09/1,651.69
  6. Step 6: Final answer
    x = 2,190.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.