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Finding the Fourth Proportional to 2,562.79, 3,839.00 and 1,519.66

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Solution

The fourth proportional to 2,562.79, 3,839.00 and 1,519.66 is: 2,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.79 : 3,839.00 = 1,519.66 : x
  2. Step 2: Convert to fraction form
    2,562.79/3,839.00 = 1,519.66/x
  3. Step 3: Cross multiply
    2,562.79x = 3,839.00 × 1,519.66
  4. Step 4: Simplify right side
    2,562.79x = 5,833,971.94
  5. Step 5: Solve for x
    x = 5,833,971.94/2,562.79
  6. Step 6: Final answer
    x = 2,276.41

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Why These Related Problems?

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