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Finding the Fourth Proportional to 1,977.08, 2,964.78 and 589.92

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Solution

The fourth proportional to 1,977.08, 2,964.78 and 589.92 is: 884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.08 : 2,964.78 = 589.92 : x
  2. Step 2: Convert to fraction form
    1,977.08/2,964.78 = 589.92/x
  3. Step 3: Cross multiply
    1,977.08x = 2,964.78 × 589.92
  4. Step 4: Simplify right side
    1,977.08x = 1,748,983.02
  5. Step 5: Solve for x
    x = 1,748,983.02/1,977.08
  6. Step 6: Final answer
    x = 884.63

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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.