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Finding the Fourth Proportional to 2,912.70, 4,370.67 and 1,614

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Solution

The fourth proportional to 2,912.70, 4,370.67 and 1,614 is: 2,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.70 : 4,370.67 = 1,614 : x
  2. Step 2: Convert to fraction form
    2,912.70/4,370.67 = 1,614/x
  3. Step 3: Cross multiply
    2,912.70x = 4,370.67 × 1,614
  4. Step 4: Simplify right side
    2,912.70x = 7,054,261.38
  5. Step 5: Solve for x
    x = 7,054,261.38/2,912.70
  6. Step 6: Final answer
    x = 2,421.90

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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.