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Finding the Fourth Proportional to 2,974.03, 4,461.55 and 1,025.78

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Solution

The fourth proportional to 2,974.03, 4,461.55 and 1,025.78 is: 1,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.03 : 4,461.55 = 1,025.78 : x
  2. Step 2: Convert to fraction form
    2,974.03/4,461.55 = 1,025.78/x
  3. Step 3: Cross multiply
    2,974.03x = 4,461.55 × 1,025.78
  4. Step 4: Simplify right side
    2,974.03x = 4,576,546.45
  5. Step 5: Solve for x
    x = 4,576,546.45/2,974.03
  6. Step 6: Final answer
    x = 1,538.84

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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.