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Finding the Fourth Proportional to 1,882.83, 2,824.49 and 696.71

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Solution

The fourth proportional to 1,882.83, 2,824.49 and 696.71 is: 1,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.83 : 2,824.49 = 696.71 : x
  2. Step 2: Convert to fraction form
    1,882.83/2,824.49 = 696.71/x
  3. Step 3: Cross multiply
    1,882.83x = 2,824.49 × 696.71
  4. Step 4: Simplify right side
    1,882.83x = 1,967,845.11
  5. Step 5: Solve for x
    x = 1,967,845.11/1,882.83
  6. Step 6: Final answer
    x = 1,045.15

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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.