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Finding the Fourth Proportional to 2,615.62, 3,609.73 and 1,567.70

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Solution

The fourth proportional to 2,615.62, 3,609.73 and 1,567.70 is: 2,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.62 : 3,609.73 = 1,567.70 : x
  2. Step 2: Convert to fraction form
    2,615.62/3,609.73 = 1,567.70/x
  3. Step 3: Cross multiply
    2,615.62x = 3,609.73 × 1,567.70
  4. Step 4: Simplify right side
    2,615.62x = 5,658,973.72
  5. Step 5: Solve for x
    x = 5,658,973.72/2,615.62
  6. Step 6: Final answer
    x = 2,163.53

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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.