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Finding the Fourth Proportional to 4,900.96, 7,346.91 and 1,780.22

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Solution

The fourth proportional to 4,900.96, 7,346.91 and 1,780.22 is: 2,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.96 : 7,346.91 = 1,780.22 : x
  2. Step 2: Convert to fraction form
    4,900.96/7,346.91 = 1,780.22/x
  3. Step 3: Cross multiply
    4,900.96x = 7,346.91 × 1,780.22
  4. Step 4: Simplify right side
    4,900.96x = 13,079,116.12
  5. Step 5: Solve for x
    x = 13,079,116.12/4,900.96
  6. Step 6: Final answer
    x = 2,668.68

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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.