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Finding the Fourth Proportional to 2,177.67, 3,005.16 and 1,293.46

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Solution

The fourth proportional to 2,177.67, 3,005.16 and 1,293.46 is: 1,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.67 : 3,005.16 = 1,293.46 : x
  2. Step 2: Convert to fraction form
    2,177.67/3,005.16 = 1,293.46/x
  3. Step 3: Cross multiply
    2,177.67x = 3,005.16 × 1,293.46
  4. Step 4: Simplify right side
    2,177.67x = 3,887,054.25
  5. Step 5: Solve for x
    x = 3,887,054.25/2,177.67
  6. Step 6: Final answer
    x = 1,784.96

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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.