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Finding the Fourth Proportional to 2,765.36, 3,809.52 and 2,323.28

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Solution

The fourth proportional to 2,765.36, 3,809.52 and 2,323.28 is: 3,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.36 : 3,809.52 = 2,323.28 : x
  2. Step 2: Convert to fraction form
    2,765.36/3,809.52 = 2,323.28/x
  3. Step 3: Cross multiply
    2,765.36x = 3,809.52 × 2,323.28
  4. Step 4: Simplify right side
    2,765.36x = 8,850,581.63
  5. Step 5: Solve for x
    x = 8,850,581.63/2,765.36
  6. Step 6: Final answer
    x = 3,200.52

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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.