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Finding the Fourth Proportional to 6,162.81, 9,244.68 and 1,780.30

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Solution

The fourth proportional to 6,162.81, 9,244.68 and 1,780.30 is: 2,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.81 : 9,244.68 = 1,780.30 : x
  2. Step 2: Convert to fraction form
    6,162.81/9,244.68 = 1,780.30/x
  3. Step 3: Cross multiply
    6,162.81x = 9,244.68 × 1,780.30
  4. Step 4: Simplify right side
    6,162.81x = 16,458,303.80
  5. Step 5: Solve for x
    x = 16,458,303.80/6,162.81
  6. Step 6: Final answer
    x = 2,670.58

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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.