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Finding the Fourth Proportional to 2,170.98, 3,255.81 and 784.15

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Solution

The fourth proportional to 2,170.98, 3,255.81 and 784.15 is: 1,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.98 : 3,255.81 = 784.15 : x
  2. Step 2: Convert to fraction form
    2,170.98/3,255.81 = 784.15/x
  3. Step 3: Cross multiply
    2,170.98x = 3,255.81 × 784.15
  4. Step 4: Simplify right side
    2,170.98x = 2,553,023.21
  5. Step 5: Solve for x
    x = 2,553,023.21/2,170.98
  6. Step 6: Final answer
    x = 1,175.98

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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.