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Finding the Fourth Proportional to 1,651.89, 2,464.31 and 1,602.12

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Solution

The fourth proportional to 1,651.89, 2,464.31 and 1,602.12 is: 2,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.89 : 2,464.31 = 1,602.12 : x
  2. Step 2: Convert to fraction form
    1,651.89/2,464.31 = 1,602.12/x
  3. Step 3: Cross multiply
    1,651.89x = 2,464.31 × 1,602.12
  4. Step 4: Simplify right side
    1,651.89x = 3,948,112.33
  5. Step 5: Solve for x
    x = 3,948,112.33/1,651.89
  6. Step 6: Final answer
    x = 2,390.06

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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.