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Finding the Fourth Proportional to 2,066.70, 3,102.30 and 834.96

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Solution

The fourth proportional to 2,066.70, 3,102.30 and 834.96 is: 1,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.70 : 3,102.30 = 834.96 : x
  2. Step 2: Convert to fraction form
    2,066.70/3,102.30 = 834.96/x
  3. Step 3: Cross multiply
    2,066.70x = 3,102.30 × 834.96
  4. Step 4: Simplify right side
    2,066.70x = 2,590,296.41
  5. Step 5: Solve for x
    x = 2,590,296.41/2,066.70
  6. Step 6: Final answer
    x = 1,253.35

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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.