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Finding the Fourth Proportional to 1,435.98, 2,149.08 and 1,112.82

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Solution

The fourth proportional to 1,435.98, 2,149.08 and 1,112.82 is: 1,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.98 : 2,149.08 = 1,112.82 : x
  2. Step 2: Convert to fraction form
    1,435.98/2,149.08 = 1,112.82/x
  3. Step 3: Cross multiply
    1,435.98x = 2,149.08 × 1,112.82
  4. Step 4: Simplify right side
    1,435.98x = 2,391,539.21
  5. Step 5: Solve for x
    x = 2,391,539.21/1,435.98
  6. Step 6: Final answer
    x = 1,665.44

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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.