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Finding the Fourth Proportional to 1,830.25, 2,526.07 and 1,769.49

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Solution

The fourth proportional to 1,830.25, 2,526.07 and 1,769.49 is: 2,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.25 : 2,526.07 = 1,769.49 : x
  2. Step 2: Convert to fraction form
    1,830.25/2,526.07 = 1,769.49/x
  3. Step 3: Cross multiply
    1,830.25x = 2,526.07 × 1,769.49
  4. Step 4: Simplify right side
    1,830.25x = 4,469,846.76
  5. Step 5: Solve for x
    x = 4,469,846.76/1,830.25
  6. Step 6: Final answer
    x = 2,442.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.