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Finding the Fourth Proportional to 1,441.54, 1,989.28 and 852.06

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Solution

The fourth proportional to 1,441.54, 1,989.28 and 852.06 is: 1,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.54 : 1,989.28 = 852.06 : x
  2. Step 2: Convert to fraction form
    1,441.54/1,989.28 = 852.06/x
  3. Step 3: Cross multiply
    1,441.54x = 1,989.28 × 852.06
  4. Step 4: Simplify right side
    1,441.54x = 1,694,985.92
  5. Step 5: Solve for x
    x = 1,694,985.92/1,441.54
  6. Step 6: Final answer
    x = 1,175.82

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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.