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Finding the Fourth Proportional to 2,961.45, 4,442.25 and 1,013.64

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Solution

The fourth proportional to 2,961.45, 4,442.25 and 1,013.64 is: 1,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.45 : 4,442.25 = 1,013.64 : x
  2. Step 2: Convert to fraction form
    2,961.45/4,442.25 = 1,013.64/x
  3. Step 3: Cross multiply
    2,961.45x = 4,442.25 × 1,013.64
  4. Step 4: Simplify right side
    2,961.45x = 4,502,842.29
  5. Step 5: Solve for x
    x = 4,502,842.29/2,961.45
  6. Step 6: Final answer
    x = 1,520.49

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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.