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Finding the Fourth Proportional to 2,177.94, 3,004.56 and 1,645.86

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Solution

The fourth proportional to 2,177.94, 3,004.56 and 1,645.86 is: 2,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.94 : 3,004.56 = 1,645.86 : x
  2. Step 2: Convert to fraction form
    2,177.94/3,004.56 = 1,645.86/x
  3. Step 3: Cross multiply
    2,177.94x = 3,004.56 × 1,645.86
  4. Step 4: Simplify right side
    2,177.94x = 4,945,085.12
  5. Step 5: Solve for x
    x = 4,945,085.12/2,177.94
  6. Step 6: Final answer
    x = 2,270.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.