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Finding the Fourth Proportional to 2,135.79, 3,202.09 and 1,440.50

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Solution

The fourth proportional to 2,135.79, 3,202.09 and 1,440.50 is: 2,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.79 : 3,202.09 = 1,440.50 : x
  2. Step 2: Convert to fraction form
    2,135.79/3,202.09 = 1,440.50/x
  3. Step 3: Cross multiply
    2,135.79x = 3,202.09 × 1,440.50
  4. Step 4: Simplify right side
    2,135.79x = 4,612,611.45
  5. Step 5: Solve for x
    x = 4,612,611.45/2,135.79
  6. Step 6: Final answer
    x = 2,159.68

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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.