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Finding the Fourth Proportional to 1,409.44, 1,945.72 and 885.76

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Solution

The fourth proportional to 1,409.44, 1,945.72 and 885.76 is: 1,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.44 : 1,945.72 = 885.76 : x
  2. Step 2: Convert to fraction form
    1,409.44/1,945.72 = 885.76/x
  3. Step 3: Cross multiply
    1,409.44x = 1,945.72 × 885.76
  4. Step 4: Simplify right side
    1,409.44x = 1,723,440.95
  5. Step 5: Solve for x
    x = 1,723,440.95/1,409.44
  6. Step 6: Final answer
    x = 1,222.78

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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.