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Finding the Fourth Proportional to 1,976.27, 2,964.95 and 589.65

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Solution

The fourth proportional to 1,976.27, 2,964.95 and 589.65 is: 884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.27 : 2,964.95 = 589.65 : x
  2. Step 2: Convert to fraction form
    1,976.27/2,964.95 = 589.65/x
  3. Step 3: Cross multiply
    1,976.27x = 2,964.95 × 589.65
  4. Step 4: Simplify right side
    1,976.27x = 1,748,290.18
  5. Step 5: Solve for x
    x = 1,748,290.18/1,976.27
  6. Step 6: Final answer
    x = 884.64

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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.