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Finding the Fourth Proportional to 2,614.88, 3,609.14 and 1,776.98

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Solution

The fourth proportional to 2,614.88, 3,609.14 and 1,776.98 is: 2,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.88 : 3,609.14 = 1,776.98 : x
  2. Step 2: Convert to fraction form
    2,614.88/3,609.14 = 1,776.98/x
  3. Step 3: Cross multiply
    2,614.88x = 3,609.14 × 1,776.98
  4. Step 4: Simplify right side
    2,614.88x = 6,413,342.67
  5. Step 5: Solve for x
    x = 6,413,342.67/2,614.88
  6. Step 6: Final answer
    x = 2,452.64

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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.