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Finding the Fourth Proportional to 2,784.79, 3,842.87 and 1,525.61

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Solution

The fourth proportional to 2,784.79, 3,842.87 and 1,525.61 is: 2,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.79 : 3,842.87 = 1,525.61 : x
  2. Step 2: Convert to fraction form
    2,784.79/3,842.87 = 1,525.61/x
  3. Step 3: Cross multiply
    2,784.79x = 3,842.87 × 1,525.61
  4. Step 4: Simplify right side
    2,784.79x = 5,862,722.88
  5. Step 5: Solve for x
    x = 5,862,722.88/2,784.79
  6. Step 6: Final answer
    x = 2,105.27

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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.