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Finding the Fourth Proportional to 2,996.92, 4,492 and 1,434.77

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Solution

The fourth proportional to 2,996.92, 4,492 and 1,434.77 is: 2,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.92 : 4,492 = 1,434.77 : x
  2. Step 2: Convert to fraction form
    2,996.92/4,492 = 1,434.77/x
  3. Step 3: Cross multiply
    2,996.92x = 4,492 × 1,434.77
  4. Step 4: Simplify right side
    2,996.92x = 6,444,986.84
  5. Step 5: Solve for x
    x = 6,444,986.84/2,996.92
  6. Step 6: Final answer
    x = 2,150.54

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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.