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Finding the Fourth Proportional to 1,975.80, 2,963.85 and 589.03

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Solution

The fourth proportional to 1,975.80, 2,963.85 and 589.03 is: 883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.80 : 2,963.85 = 589.03 : x
  2. Step 2: Convert to fraction form
    1,975.80/2,963.85 = 589.03/x
  3. Step 3: Cross multiply
    1,975.80x = 2,963.85 × 589.03
  4. Step 4: Simplify right side
    1,975.80x = 1,745,778.80
  5. Step 5: Solve for x
    x = 1,745,778.80/1,975.80
  6. Step 6: Final answer
    x = 883.58

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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.