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Finding the Fourth Proportional to 1,488.21, 2,054.07 and 963.33

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Solution

The fourth proportional to 1,488.21, 2,054.07 and 963.33 is: 1,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.21 : 2,054.07 = 963.33 : x
  2. Step 2: Convert to fraction form
    1,488.21/2,054.07 = 963.33/x
  3. Step 3: Cross multiply
    1,488.21x = 2,054.07 × 963.33
  4. Step 4: Simplify right side
    1,488.21x = 1,978,747.25
  5. Step 5: Solve for x
    x = 1,978,747.25/1,488.21
  6. Step 6: Final answer
    x = 1,329.62

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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.