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Finding the Fourth Proportional to 2,648.50, 3,969.41 and 2,318.63

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Solution

The fourth proportional to 2,648.50, 3,969.41 and 2,318.63 is: 3,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.50 : 3,969.41 = 2,318.63 : x
  2. Step 2: Convert to fraction form
    2,648.50/3,969.41 = 2,318.63/x
  3. Step 3: Cross multiply
    2,648.50x = 3,969.41 × 2,318.63
  4. Step 4: Simplify right side
    2,648.50x = 9,203,561.67
  5. Step 5: Solve for x
    x = 9,203,561.67/2,648.50
  6. Step 6: Final answer
    x = 3,475.01

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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.