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Finding the Fourth Proportional to 2,133.81, 3,200.45 and 836.19

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Solution

The fourth proportional to 2,133.81, 3,200.45 and 836.19 is: 1,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.81 : 3,200.45 = 836.19 : x
  2. Step 2: Convert to fraction form
    2,133.81/3,200.45 = 836.19/x
  3. Step 3: Cross multiply
    2,133.81x = 3,200.45 × 836.19
  4. Step 4: Simplify right side
    2,133.81x = 2,676,180.10
  5. Step 5: Solve for x
    x = 2,676,180.10/2,133.81
  6. Step 6: Final answer
    x = 1,254.18

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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.