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Finding the Fourth Proportional to 1,453.32, 2,175.24 and 959.88

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Solution

The fourth proportional to 1,453.32, 2,175.24 and 959.88 is: 1,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.32 : 2,175.24 = 959.88 : x
  2. Step 2: Convert to fraction form
    1,453.32/2,175.24 = 959.88/x
  3. Step 3: Cross multiply
    1,453.32x = 2,175.24 × 959.88
  4. Step 4: Simplify right side
    1,453.32x = 2,087,969.37
  5. Step 5: Solve for x
    x = 2,087,969.37/1,453.32
  6. Step 6: Final answer
    x = 1,436.69

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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.