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Finding the Fourth Proportional to 1,485.96, 2,229.74 and 965.84

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Solution

The fourth proportional to 1,485.96, 2,229.74 and 965.84 is: 1,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.96 : 2,229.74 = 965.84 : x
  2. Step 2: Convert to fraction form
    1,485.96/2,229.74 = 965.84/x
  3. Step 3: Cross multiply
    1,485.96x = 2,229.74 × 965.84
  4. Step 4: Simplify right side
    1,485.96x = 2,153,572.08
  5. Step 5: Solve for x
    x = 2,153,572.08/1,485.96
  6. Step 6: Final answer
    x = 1,449.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.