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Finding the Fourth Proportional to 2,961.99, 4,438.12 and 1,013.13

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Solution

The fourth proportional to 2,961.99, 4,438.12 and 1,013.13 is: 1,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.99 : 4,438.12 = 1,013.13 : x
  2. Step 2: Convert to fraction form
    2,961.99/4,438.12 = 1,013.13/x
  3. Step 3: Cross multiply
    2,961.99x = 4,438.12 × 1,013.13
  4. Step 4: Simplify right side
    2,961.99x = 4,496,392.52
  5. Step 5: Solve for x
    x = 4,496,392.52/2,961.99
  6. Step 6: Final answer
    x = 1,518.03

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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.