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Finding the Fourth Proportional to 2,174.34, 3,000.12 and 1,290.42

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Solution

The fourth proportional to 2,174.34, 3,000.12 and 1,290.42 is: 1,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.34 : 3,000.12 = 1,290.42 : x
  2. Step 2: Convert to fraction form
    2,174.34/3,000.12 = 1,290.42/x
  3. Step 3: Cross multiply
    2,174.34x = 3,000.12 × 1,290.42
  4. Step 4: Simplify right side
    2,174.34x = 3,871,414.85
  5. Step 5: Solve for x
    x = 3,871,414.85/2,174.34
  6. Step 6: Final answer
    x = 1,780.50

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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.