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Finding the Fourth Proportional to 2,646.18, 3,969.27 and 1,489.50

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Solution

The fourth proportional to 2,646.18, 3,969.27 and 1,489.50 is: 2,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.18 : 3,969.27 = 1,489.50 : x
  2. Step 2: Convert to fraction form
    2,646.18/3,969.27 = 1,489.50/x
  3. Step 3: Cross multiply
    2,646.18x = 3,969.27 × 1,489.50
  4. Step 4: Simplify right side
    2,646.18x = 5,912,227.67
  5. Step 5: Solve for x
    x = 5,912,227.67/2,646.18
  6. Step 6: Final answer
    x = 2,234.25

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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.