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Finding the Fourth Proportional to 2,041.63, 3,059.02 and 1,965.79

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Solution

The fourth proportional to 2,041.63, 3,059.02 and 1,965.79 is: 2,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.63 : 3,059.02 = 1,965.79 : x
  2. Step 2: Convert to fraction form
    2,041.63/3,059.02 = 1,965.79/x
  3. Step 3: Cross multiply
    2,041.63x = 3,059.02 × 1,965.79
  4. Step 4: Simplify right side
    2,041.63x = 6,013,390.93
  5. Step 5: Solve for x
    x = 6,013,390.93/2,041.63
  6. Step 6: Final answer
    x = 2,945.39

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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.