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Finding the Fourth Proportional to 2,976.69, 4,107.68 and 1,650.39

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Solution

The fourth proportional to 2,976.69, 4,107.68 and 1,650.39 is: 2,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.69 : 4,107.68 = 1,650.39 : x
  2. Step 2: Convert to fraction form
    2,976.69/4,107.68 = 1,650.39/x
  3. Step 3: Cross multiply
    2,976.69x = 4,107.68 × 1,650.39
  4. Step 4: Simplify right side
    2,976.69x = 6,779,274.00
  5. Step 5: Solve for x
    x = 6,779,274.00/2,976.69
  6. Step 6: Final answer
    x = 2,277.45

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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.