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Finding the Fourth Proportional to 2,177.57, 3,005.09 and 1,293.37

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Solution

The fourth proportional to 2,177.57, 3,005.09 and 1,293.37 is: 1,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.57 : 3,005.09 = 1,293.37 : x
  2. Step 2: Convert to fraction form
    2,177.57/3,005.09 = 1,293.37/x
  3. Step 3: Cross multiply
    2,177.57x = 3,005.09 × 1,293.37
  4. Step 4: Simplify right side
    2,177.57x = 3,886,702.38
  5. Step 5: Solve for x
    x = 3,886,702.38/2,177.57
  6. Step 6: Final answer
    x = 1,784.88

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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.