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Finding the Fourth Proportional to 2,784.68, 3,842.66 and 1,525.54

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Solution

The fourth proportional to 2,784.68, 3,842.66 and 1,525.54 is: 2,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.68 : 3,842.66 = 1,525.54 : x
  2. Step 2: Convert to fraction form
    2,784.68/3,842.66 = 1,525.54/x
  3. Step 3: Cross multiply
    2,784.68x = 3,842.66 × 1,525.54
  4. Step 4: Simplify right side
    2,784.68x = 5,862,104.70
  5. Step 5: Solve for x
    x = 5,862,104.70/2,784.68
  6. Step 6: Final answer
    x = 2,105.13

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Why These Related Problems?

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