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Finding the Fourth Proportional to 4,134.96, 6,202.70 and 1,213

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Solution

The fourth proportional to 4,134.96, 6,202.70 and 1,213 is: 1,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.96 : 6,202.70 = 1,213 : x
  2. Step 2: Convert to fraction form
    4,134.96/6,202.70 = 1,213/x
  3. Step 3: Cross multiply
    4,134.96x = 6,202.70 × 1,213
  4. Step 4: Simplify right side
    4,134.96x = 7,523,875.10
  5. Step 5: Solve for x
    x = 7,523,875.10/4,134.96
  6. Step 6: Final answer
    x = 1,819.58

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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.