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Finding the Fourth Proportional to 2,784.23, 3,842.21 and 1,525.25

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Solution

The fourth proportional to 2,784.23, 3,842.21 and 1,525.25 is: 2,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.23 : 3,842.21 = 1,525.25 : x
  2. Step 2: Convert to fraction form
    2,784.23/3,842.21 = 1,525.25/x
  3. Step 3: Cross multiply
    2,784.23x = 3,842.21 × 1,525.25
  4. Step 4: Simplify right side
    2,784.23x = 5,860,332.78
  5. Step 5: Solve for x
    x = 5,860,332.78/2,784.23
  6. Step 6: Final answer
    x = 2,104.83

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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.