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Finding the Fourth Proportional to 1,976.78, 2,965.20 and 589.81

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Solution

The fourth proportional to 1,976.78, 2,965.20 and 589.81 is: 884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.78 : 2,965.20 = 589.81 : x
  2. Step 2: Convert to fraction form
    1,976.78/2,965.20 = 589.81/x
  3. Step 3: Cross multiply
    1,976.78x = 2,965.20 × 589.81
  4. Step 4: Simplify right side
    1,976.78x = 1,748,889.79
  5. Step 5: Solve for x
    x = 1,748,889.79/1,976.78
  6. Step 6: Final answer
    x = 884.72

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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.