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Finding the Fourth Proportional to 2,765.71, 4,157.68 and 2,562.81

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Solution

The fourth proportional to 2,765.71, 4,157.68 and 2,562.81 is: 3,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.71 : 4,157.68 = 2,562.81 : x
  2. Step 2: Convert to fraction form
    2,765.71/4,157.68 = 2,562.81/x
  3. Step 3: Cross multiply
    2,765.71x = 4,157.68 × 2,562.81
  4. Step 4: Simplify right side
    2,765.71x = 10,655,343.88
  5. Step 5: Solve for x
    x = 10,655,343.88/2,765.71
  6. Step 6: Final answer
    x = 3,852.66

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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.