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Finding the Fourth Proportional to 6,154.28, 9,230.42 and 1,770.74

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Solution

The fourth proportional to 6,154.28, 9,230.42 and 1,770.74 is: 2,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.28 : 9,230.42 = 1,770.74 : x
  2. Step 2: Convert to fraction form
    6,154.28/9,230.42 = 1,770.74/x
  3. Step 3: Cross multiply
    6,154.28x = 9,230.42 × 1,770.74
  4. Step 4: Simplify right side
    6,154.28x = 16,344,673.91
  5. Step 5: Solve for x
    x = 16,344,673.91/6,154.28
  6. Step 6: Final answer
    x = 2,655.82

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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.