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Finding the Fourth Proportional to 2,171.20, 3,256.80 and 784.97

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Solution

The fourth proportional to 2,171.20, 3,256.80 and 784.97 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.20 : 3,256.80 = 784.97 : x
  2. Step 2: Convert to fraction form
    2,171.20/3,256.80 = 784.97/x
  3. Step 3: Cross multiply
    2,171.20x = 3,256.80 × 784.97
  4. Step 4: Simplify right side
    2,171.20x = 2,556,490.30
  5. Step 5: Solve for x
    x = 2,556,490.30/2,171.20
  6. Step 6: Final answer
    x = 1,177.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.