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Finding the Fourth Proportional to 2,765.09, 4,156.74 and 2,562.18

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Solution

The fourth proportional to 2,765.09, 4,156.74 and 2,562.18 is: 3,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.09 : 4,156.74 = 2,562.18 : x
  2. Step 2: Convert to fraction form
    2,765.09/4,156.74 = 2,562.18/x
  3. Step 3: Cross multiply
    2,765.09x = 4,156.74 × 2,562.18
  4. Step 4: Simplify right side
    2,765.09x = 10,650,316.09
  5. Step 5: Solve for x
    x = 10,650,316.09/2,765.09
  6. Step 6: Final answer
    x = 3,851.71

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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.