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Finding the Fourth Proportional to 2,160.12, 2,980.97 and 1,276.36

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Solution

The fourth proportional to 2,160.12, 2,980.97 and 1,276.36 is: 1,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.12 : 2,980.97 = 1,276.36 : x
  2. Step 2: Convert to fraction form
    2,160.12/2,980.97 = 1,276.36/x
  3. Step 3: Cross multiply
    2,160.12x = 2,980.97 × 1,276.36
  4. Step 4: Simplify right side
    2,160.12x = 3,804,790.87
  5. Step 5: Solve for x
    x = 3,804,790.87/2,160.12
  6. Step 6: Final answer
    x = 1,761.38

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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.