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Finding the Fourth Proportional to 1,406.09, 1,942.98 and 1,218.98

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Solution

The fourth proportional to 1,406.09, 1,942.98 and 1,218.98 is: 1,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.09 : 1,942.98 = 1,218.98 : x
  2. Step 2: Convert to fraction form
    1,406.09/1,942.98 = 1,218.98/x
  3. Step 3: Cross multiply
    1,406.09x = 1,942.98 × 1,218.98
  4. Step 4: Simplify right side
    1,406.09x = 2,368,453.76
  5. Step 5: Solve for x
    x = 2,368,453.76/1,406.09
  6. Step 6: Final answer
    x = 1,684.43

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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.