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Finding the Fourth Proportional to 3,299.13, 4,950.72 and 1,740.29

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Solution

The fourth proportional to 3,299.13, 4,950.72 and 1,740.29 is: 2,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.13 : 4,950.72 = 1,740.29 : x
  2. Step 2: Convert to fraction form
    3,299.13/4,950.72 = 1,740.29/x
  3. Step 3: Cross multiply
    3,299.13x = 4,950.72 × 1,740.29
  4. Step 4: Simplify right side
    3,299.13x = 8,615,663.76
  5. Step 5: Solve for x
    x = 8,615,663.76/3,299.13
  6. Step 6: Final answer
    x = 2,611.50

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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.