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Finding the Fourth Proportional to 2,684.69, 4,028.61 and 1,041.15

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Solution

The fourth proportional to 2,684.69, 4,028.61 and 1,041.15 is: 1,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.69 : 4,028.61 = 1,041.15 : x
  2. Step 2: Convert to fraction form
    2,684.69/4,028.61 = 1,041.15/x
  3. Step 3: Cross multiply
    2,684.69x = 4,028.61 × 1,041.15
  4. Step 4: Simplify right side
    2,684.69x = 4,194,387.30
  5. Step 5: Solve for x
    x = 4,194,387.30/2,684.69
  6. Step 6: Final answer
    x = 1,562.34

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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.