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Finding the Fourth Proportional to 3,186.42, 4,776.18 and 1,540.70

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Solution

The fourth proportional to 3,186.42, 4,776.18 and 1,540.70 is: 2,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.42 : 4,776.18 = 1,540.70 : x
  2. Step 2: Convert to fraction form
    3,186.42/4,776.18 = 1,540.70/x
  3. Step 3: Cross multiply
    3,186.42x = 4,776.18 × 1,540.70
  4. Step 4: Simplify right side
    3,186.42x = 7,358,660.53
  5. Step 5: Solve for x
    x = 7,358,660.53/3,186.42
  6. Step 6: Final answer
    x = 2,309.38

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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.