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Finding the Fourth Proportional to 1,422.83, 2,135.03 and 1,078.31

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Solution

The fourth proportional to 1,422.83, 2,135.03 and 1,078.31 is: 1,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.83 : 2,135.03 = 1,078.31 : x
  2. Step 2: Convert to fraction form
    1,422.83/2,135.03 = 1,078.31/x
  3. Step 3: Cross multiply
    1,422.83x = 2,135.03 × 1,078.31
  4. Step 4: Simplify right side
    1,422.83x = 2,302,224.15
  5. Step 5: Solve for x
    x = 2,302,224.15/1,422.83
  6. Step 6: Final answer
    x = 1,618.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.