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Finding the Fourth Proportional to 1,441.89, 1,988.66 and 969.63

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Solution

The fourth proportional to 1,441.89, 1,988.66 and 969.63 is: 1,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.89 : 1,988.66 = 969.63 : x
  2. Step 2: Convert to fraction form
    1,441.89/1,988.66 = 969.63/x
  3. Step 3: Cross multiply
    1,441.89x = 1,988.66 × 969.63
  4. Step 4: Simplify right side
    1,441.89x = 1,928,259.55
  5. Step 5: Solve for x
    x = 1,928,259.55/1,441.89
  6. Step 6: Final answer
    x = 1,337.31

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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.