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Finding the Fourth Proportional to 2,171.32, 3,255.08 and 784.34

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Solution

The fourth proportional to 2,171.32, 3,255.08 and 784.34 is: 1,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.32 : 3,255.08 = 784.34 : x
  2. Step 2: Convert to fraction form
    2,171.32/3,255.08 = 784.34/x
  3. Step 3: Cross multiply
    2,171.32x = 3,255.08 × 784.34
  4. Step 4: Simplify right side
    2,171.32x = 2,553,089.45
  5. Step 5: Solve for x
    x = 2,553,089.45/2,171.32
  6. Step 6: Final answer
    x = 1,175.82

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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.