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Finding the Fourth Proportional to 1,446.24, 1,995.60 and 980.16

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Solution

The fourth proportional to 1,446.24, 1,995.60 and 980.16 is: 1,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.24 : 1,995.60 = 980.16 : x
  2. Step 2: Convert to fraction form
    1,446.24/1,995.60 = 980.16/x
  3. Step 3: Cross multiply
    1,446.24x = 1,995.60 × 980.16
  4. Step 4: Simplify right side
    1,446.24x = 1,956,007.30
  5. Step 5: Solve for x
    x = 1,956,007.30/1,446.24
  6. Step 6: Final answer
    x = 1,352.48

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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.