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Finding the Fourth Proportional to 1,441.46, 1,989.06 and 852.02

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Solution

The fourth proportional to 1,441.46, 1,989.06 and 852.02 is: 1,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.46 : 1,989.06 = 852.02 : x
  2. Step 2: Convert to fraction form
    1,441.46/1,989.06 = 852.02/x
  3. Step 3: Cross multiply
    1,441.46x = 1,989.06 × 852.02
  4. Step 4: Simplify right side
    1,441.46x = 1,694,718.90
  5. Step 5: Solve for x
    x = 1,694,718.90/1,441.46
  6. Step 6: Final answer
    x = 1,175.70

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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.