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Finding the Fourth Proportional to 1,805.91, 2,709.71 and 983.21

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Solution

The fourth proportional to 1,805.91, 2,709.71 and 983.21 is: 1,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.91 : 2,709.71 = 983.21 : x
  2. Step 2: Convert to fraction form
    1,805.91/2,709.71 = 983.21/x
  3. Step 3: Cross multiply
    1,805.91x = 2,709.71 × 983.21
  4. Step 4: Simplify right side
    1,805.91x = 2,664,195.50
  5. Step 5: Solve for x
    x = 2,664,195.50/1,805.91
  6. Step 6: Final answer
    x = 1,475.26

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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.