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Finding the Fourth Proportional to 2,174.82, 3,256.02 and 1,442.94

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Solution

The fourth proportional to 2,174.82, 3,256.02 and 1,442.94 is: 2,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.82 : 3,256.02 = 1,442.94 : x
  2. Step 2: Convert to fraction form
    2,174.82/3,256.02 = 1,442.94/x
  3. Step 3: Cross multiply
    2,174.82x = 3,256.02 × 1,442.94
  4. Step 4: Simplify right side
    2,174.82x = 4,698,241.50
  5. Step 5: Solve for x
    x = 4,698,241.50/2,174.82
  6. Step 6: Final answer
    x = 2,160.29

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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.