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Finding the Fourth Proportional to 1,441.96, 1,988.28 and 1,022.44

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Solution

The fourth proportional to 1,441.96, 1,988.28 and 1,022.44 is: 1,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.96 : 1,988.28 = 1,022.44 : x
  2. Step 2: Convert to fraction form
    1,441.96/1,988.28 = 1,022.44/x
  3. Step 3: Cross multiply
    1,441.96x = 1,988.28 × 1,022.44
  4. Step 4: Simplify right side
    1,441.96x = 2,032,897.00
  5. Step 5: Solve for x
    x = 2,032,897.00/1,441.96
  6. Step 6: Final answer
    x = 1,409.82

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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.