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Finding the Fourth Proportional to 2,133.06, 3,200.16 and 834.66

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Solution

The fourth proportional to 2,133.06, 3,200.16 and 834.66 is: 1,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.06 : 3,200.16 = 834.66 : x
  2. Step 2: Convert to fraction form
    2,133.06/3,200.16 = 834.66/x
  3. Step 3: Cross multiply
    2,133.06x = 3,200.16 × 834.66
  4. Step 4: Simplify right side
    2,133.06x = 2,671,045.55
  5. Step 5: Solve for x
    x = 2,671,045.55/2,133.06
  6. Step 6: Final answer
    x = 1,252.21

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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.