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Finding the Fourth Proportional to 2,584.56, 3,876.14 and 1,762.68

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Solution

The fourth proportional to 2,584.56, 3,876.14 and 1,762.68 is: 2,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.56 : 3,876.14 = 1,762.68 : x
  2. Step 2: Convert to fraction form
    2,584.56/3,876.14 = 1,762.68/x
  3. Step 3: Cross multiply
    2,584.56x = 3,876.14 × 1,762.68
  4. Step 4: Simplify right side
    2,584.56x = 6,832,394.46
  5. Step 5: Solve for x
    x = 6,832,394.46/2,584.56
  6. Step 6: Final answer
    x = 2,643.54

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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.