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Finding the Fourth Proportional to 1,775.12, 2,450.09 and 1,029.49

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Solution

The fourth proportional to 1,775.12, 2,450.09 and 1,029.49 is: 1,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.12 : 2,450.09 = 1,029.49 : x
  2. Step 2: Convert to fraction form
    1,775.12/2,450.09 = 1,029.49/x
  3. Step 3: Cross multiply
    1,775.12x = 2,450.09 × 1,029.49
  4. Step 4: Simplify right side
    1,775.12x = 2,522,353.38
  5. Step 5: Solve for x
    x = 2,522,353.38/1,775.12
  6. Step 6: Final answer
    x = 1,420.95

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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.