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Finding the Fourth Proportional to 1,470.27, 2,028.60 and 880.86

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Solution

The fourth proportional to 1,470.27, 2,028.60 and 880.86 is: 1,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.27 : 2,028.60 = 880.86 : x
  2. Step 2: Convert to fraction form
    1,470.27/2,028.60 = 880.86/x
  3. Step 3: Cross multiply
    1,470.27x = 2,028.60 × 880.86
  4. Step 4: Simplify right side
    1,470.27x = 1,786,912.60
  5. Step 5: Solve for x
    x = 1,786,912.60/1,470.27
  6. Step 6: Final answer
    x = 1,215.36

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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.