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Finding the Fourth Proportional to 1,441.23, 1,988.71 and 851.55

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Solution

The fourth proportional to 1,441.23, 1,988.71 and 851.55 is: 1,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.23 : 1,988.71 = 851.55 : x
  2. Step 2: Convert to fraction form
    1,441.23/1,988.71 = 851.55/x
  3. Step 3: Cross multiply
    1,441.23x = 1,988.71 × 851.55
  4. Step 4: Simplify right side
    1,441.23x = 1,693,486.00
  5. Step 5: Solve for x
    x = 1,693,486.00/1,441.23
  6. Step 6: Final answer
    x = 1,175.03

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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.