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Finding the Fourth Proportional to 3,207.14, 4,810.66 and 835.22

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Solution

The fourth proportional to 3,207.14, 4,810.66 and 835.22 is: 1,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.14 : 4,810.66 = 835.22 : x
  2. Step 2: Convert to fraction form
    3,207.14/4,810.66 = 835.22/x
  3. Step 3: Cross multiply
    3,207.14x = 4,810.66 × 835.22
  4. Step 4: Simplify right side
    3,207.14x = 4,017,959.45
  5. Step 5: Solve for x
    x = 4,017,959.45/3,207.14
  6. Step 6: Final answer
    x = 1,252.82

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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.