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Finding the Fourth Proportional to 1,798.62, 2,698.23 and 824.80

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Solution

The fourth proportional to 1,798.62, 2,698.23 and 824.80 is: 1,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.62 : 2,698.23 = 824.80 : x
  2. Step 2: Convert to fraction form
    1,798.62/2,698.23 = 824.80/x
  3. Step 3: Cross multiply
    1,798.62x = 2,698.23 × 824.80
  4. Step 4: Simplify right side
    1,798.62x = 2,225,500.10
  5. Step 5: Solve for x
    x = 2,225,500.10/1,798.62
  6. Step 6: Final answer
    x = 1,237.34

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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.