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Finding the Fourth Proportional to 2,975.39, 4,106.14 and 1,716.87

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Solution

The fourth proportional to 2,975.39, 4,106.14 and 1,716.87 is: 2,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.39 : 4,106.14 = 1,716.87 : x
  2. Step 2: Convert to fraction form
    2,975.39/4,106.14 = 1,716.87/x
  3. Step 3: Cross multiply
    2,975.39x = 4,106.14 × 1,716.87
  4. Step 4: Simplify right side
    2,975.39x = 7,049,704.29
  5. Step 5: Solve for x
    x = 7,049,704.29/2,975.39
  6. Step 6: Final answer
    x = 2,369.34

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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.