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Finding the Fourth Proportional to 1,441.41, 2,159.27 and 952.98

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Solution

The fourth proportional to 1,441.41, 2,159.27 and 952.98 is: 1,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.41 : 2,159.27 = 952.98 : x
  2. Step 2: Convert to fraction form
    1,441.41/2,159.27 = 952.98/x
  3. Step 3: Cross multiply
    1,441.41x = 2,159.27 × 952.98
  4. Step 4: Simplify right side
    1,441.41x = 2,057,736.36
  5. Step 5: Solve for x
    x = 2,057,736.36/1,441.41
  6. Step 6: Final answer
    x = 1,427.59

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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.