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Finding the Fourth Proportional to 1,874.27, 2,812.05 and 641.99

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Solution

The fourth proportional to 1,874.27, 2,812.05 and 641.99 is: 963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.27 : 2,812.05 = 641.99 : x
  2. Step 2: Convert to fraction form
    1,874.27/2,812.05 = 641.99/x
  3. Step 3: Cross multiply
    1,874.27x = 2,812.05 × 641.99
  4. Step 4: Simplify right side
    1,874.27x = 1,805,315.01
  5. Step 5: Solve for x
    x = 1,805,315.01/1,874.27
  6. Step 6: Final answer
    x = 963.21

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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.