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Finding the Fourth Proportional to 2,415.67, 3,308.64 and 2,273.82

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Solution

The fourth proportional to 2,415.67, 3,308.64 and 2,273.82 is: 3,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.67 : 3,308.64 = 2,273.82 : x
  2. Step 2: Convert to fraction form
    2,415.67/3,308.64 = 2,273.82/x
  3. Step 3: Cross multiply
    2,415.67x = 3,308.64 × 2,273.82
  4. Step 4: Simplify right side
    2,415.67x = 7,523,238.10
  5. Step 5: Solve for x
    x = 7,523,238.10/2,415.67
  6. Step 6: Final answer
    x = 3,114.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.