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Finding the Fourth Proportional to 2,945.44, 4,414.48 and 1,485

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Solution

The fourth proportional to 2,945.44, 4,414.48 and 1,485 is: 2,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.44 : 4,414.48 = 1,485 : x
  2. Step 2: Convert to fraction form
    2,945.44/4,414.48 = 1,485/x
  3. Step 3: Cross multiply
    2,945.44x = 4,414.48 × 1,485
  4. Step 4: Simplify right side
    2,945.44x = 6,555,502.80
  5. Step 5: Solve for x
    x = 6,555,502.80/2,945.44
  6. Step 6: Final answer
    x = 2,225.64

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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.