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Finding the Fourth Proportional to 1,441.40, 1,989.66 and 962.96

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Solution

The fourth proportional to 1,441.40, 1,989.66 and 962.96 is: 1,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.40 : 1,989.66 = 962.96 : x
  2. Step 2: Convert to fraction form
    1,441.40/1,989.66 = 962.96/x
  3. Step 3: Cross multiply
    1,441.40x = 1,989.66 × 962.96
  4. Step 4: Simplify right side
    1,441.40x = 1,915,962.99
  5. Step 5: Solve for x
    x = 1,915,962.99/1,441.40
  6. Step 6: Final answer
    x = 1,329.24

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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.