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Finding the Fourth Proportional to 2,134.01, 3,200.30 and 817.46

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Solution

The fourth proportional to 2,134.01, 3,200.30 and 817.46 is: 1,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.01 : 3,200.30 = 817.46 : x
  2. Step 2: Convert to fraction form
    2,134.01/3,200.30 = 817.46/x
  3. Step 3: Cross multiply
    2,134.01x = 3,200.30 × 817.46
  4. Step 4: Simplify right side
    2,134.01x = 2,616,097.15
  5. Step 5: Solve for x
    x = 2,616,097.15/2,134.01
  6. Step 6: Final answer
    x = 1,225.91

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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.