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Finding the Fourth Proportional to 1,443.51, 2,165.31 and 959.94

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Solution

The fourth proportional to 1,443.51, 2,165.31 and 959.94 is: 1,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.51 : 2,165.31 = 959.94 : x
  2. Step 2: Convert to fraction form
    1,443.51/2,165.31 = 959.94/x
  3. Step 3: Cross multiply
    1,443.51x = 2,165.31 × 959.94
  4. Step 4: Simplify right side
    1,443.51x = 2,078,567.68
  5. Step 5: Solve for x
    x = 2,078,567.68/1,443.51
  6. Step 6: Final answer
    x = 1,439.94

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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.