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Finding the Fourth Proportional to 2,021.76, 2,789.28 and 1,313.28

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Solution

The fourth proportional to 2,021.76, 2,789.28 and 1,313.28 is: 1,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.76 : 2,789.28 = 1,313.28 : x
  2. Step 2: Convert to fraction form
    2,021.76/2,789.28 = 1,313.28/x
  3. Step 3: Cross multiply
    2,021.76x = 2,789.28 × 1,313.28
  4. Step 4: Simplify right side
    2,021.76x = 3,663,105.64
  5. Step 5: Solve for x
    x = 3,663,105.64/2,021.76
  6. Step 6: Final answer
    x = 1,811.84

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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.