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Finding the Fourth Proportional to 2,784.70, 3,842.73 and 1,525.69

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Solution

The fourth proportional to 2,784.70, 3,842.73 and 1,525.69 is: 2,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.70 : 3,842.73 = 1,525.69 : x
  2. Step 2: Convert to fraction form
    2,784.70/3,842.73 = 1,525.69/x
  3. Step 3: Cross multiply
    2,784.70x = 3,842.73 × 1,525.69
  4. Step 4: Simplify right side
    2,784.70x = 5,862,814.73
  5. Step 5: Solve for x
    x = 5,862,814.73/2,784.70
  6. Step 6: Final answer
    x = 2,105.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.