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Finding the Fourth Proportional to 1,856.28, 2,780.40 and 1,163.28

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Solution

The fourth proportional to 1,856.28, 2,780.40 and 1,163.28 is: 1,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.28 : 2,780.40 = 1,163.28 : x
  2. Step 2: Convert to fraction form
    1,856.28/2,780.40 = 1,163.28/x
  3. Step 3: Cross multiply
    1,856.28x = 2,780.40 × 1,163.28
  4. Step 4: Simplify right side
    1,856.28x = 3,234,383.71
  5. Step 5: Solve for x
    x = 3,234,383.71/1,856.28
  6. Step 6: Final answer
    x = 1,742.40

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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.