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Finding the Fourth Proportional to 1,975.94, 2,964.34 and 589.39

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Solution

The fourth proportional to 1,975.94, 2,964.34 and 589.39 is: 884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.94 : 2,964.34 = 589.39 : x
  2. Step 2: Convert to fraction form
    1,975.94/2,964.34 = 589.39/x
  3. Step 3: Cross multiply
    1,975.94x = 2,964.34 × 589.39
  4. Step 4: Simplify right side
    1,975.94x = 1,747,143.47
  5. Step 5: Solve for x
    x = 1,747,143.47/1,975.94
  6. Step 6: Final answer
    x = 884.21

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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.