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Finding the Fourth Proportional to 1,412.82, 1,944.81 and 1,223.68

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Solution

The fourth proportional to 1,412.82, 1,944.81 and 1,223.68 is: 1,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.82 : 1,944.81 = 1,223.68 : x
  2. Step 2: Convert to fraction form
    1,412.82/1,944.81 = 1,223.68/x
  3. Step 3: Cross multiply
    1,412.82x = 1,944.81 × 1,223.68
  4. Step 4: Simplify right side
    1,412.82x = 2,379,825.10
  5. Step 5: Solve for x
    x = 2,379,825.10/1,412.82
  6. Step 6: Final answer
    x = 1,684.45

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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.