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Finding the Fourth Proportional to 3,322.94, 4,975.04 and 1,759.40

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Solution

The fourth proportional to 3,322.94, 4,975.04 and 1,759.40 is: 2,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.94 : 4,975.04 = 1,759.40 : x
  2. Step 2: Convert to fraction form
    3,322.94/4,975.04 = 1,759.40/x
  3. Step 3: Cross multiply
    3,322.94x = 4,975.04 × 1,759.40
  4. Step 4: Simplify right side
    3,322.94x = 8,753,085.38
  5. Step 5: Solve for x
    x = 8,753,085.38/3,322.94
  6. Step 6: Final answer
    x = 2,634.14

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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.