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Finding the Fourth Proportional to 2,499.34, 3,450.54 and 1,661.17

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Solution

The fourth proportional to 2,499.34, 3,450.54 and 1,661.17 is: 2,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.34 : 3,450.54 = 1,661.17 : x
  2. Step 2: Convert to fraction form
    2,499.34/3,450.54 = 1,661.17/x
  3. Step 3: Cross multiply
    2,499.34x = 3,450.54 × 1,661.17
  4. Step 4: Simplify right side
    2,499.34x = 5,731,933.53
  5. Step 5: Solve for x
    x = 5,731,933.53/2,499.34
  6. Step 6: Final answer
    x = 2,293.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.