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Finding the Fourth Proportional to 1,962.66, 2,710.23 and 1,464.43

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Solution

The fourth proportional to 1,962.66, 2,710.23 and 1,464.43 is: 2,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.66 : 2,710.23 = 1,464.43 : x
  2. Step 2: Convert to fraction form
    1,962.66/2,710.23 = 1,464.43/x
  3. Step 3: Cross multiply
    1,962.66x = 2,710.23 × 1,464.43
  4. Step 4: Simplify right side
    1,962.66x = 3,968,942.12
  5. Step 5: Solve for x
    x = 3,968,942.12/1,962.66
  6. Step 6: Final answer
    x = 2,022.23

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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.