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Finding the Fourth Proportional to 2,171.78, 3,256.88 and 784.79

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Solution

The fourth proportional to 2,171.78, 3,256.88 and 784.79 is: 1,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.78 : 3,256.88 = 784.79 : x
  2. Step 2: Convert to fraction form
    2,171.78/3,256.88 = 784.79/x
  3. Step 3: Cross multiply
    2,171.78x = 3,256.88 × 784.79
  4. Step 4: Simplify right side
    2,171.78x = 2,555,946.65
  5. Step 5: Solve for x
    x = 2,555,946.65/2,171.78
  6. Step 6: Final answer
    x = 1,176.89

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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.