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Finding the Fourth Proportional to 2,157.84, 2,978.24 and 1,273.60

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Solution

The fourth proportional to 2,157.84, 2,978.24 and 1,273.60 is: 1,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.84 : 2,978.24 = 1,273.60 : x
  2. Step 2: Convert to fraction form
    2,157.84/2,978.24 = 1,273.60/x
  3. Step 3: Cross multiply
    2,157.84x = 2,978.24 × 1,273.60
  4. Step 4: Simplify right side
    2,157.84x = 3,793,086.46
  5. Step 5: Solve for x
    x = 3,793,086.46/2,157.84
  6. Step 6: Final answer
    x = 1,757.82

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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.