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Finding the Fourth Proportional to 2,765.28, 4,145.20 and 1,533.28

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Solution

The fourth proportional to 2,765.28, 4,145.20 and 1,533.28 is: 2,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.28 : 4,145.20 = 1,533.28 : x
  2. Step 2: Convert to fraction form
    2,765.28/4,145.20 = 1,533.28/x
  3. Step 3: Cross multiply
    2,765.28x = 4,145.20 × 1,533.28
  4. Step 4: Simplify right side
    2,765.28x = 6,355,752.26
  5. Step 5: Solve for x
    x = 6,355,752.26/2,765.28
  6. Step 6: Final answer
    x = 2,298.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.