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Finding the Fourth Proportional to 3,462.61, 5,190.82 and 1,270.83

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Solution

The fourth proportional to 3,462.61, 5,190.82 and 1,270.83 is: 1,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.61 : 5,190.82 = 1,270.83 : x
  2. Step 2: Convert to fraction form
    3,462.61/5,190.82 = 1,270.83/x
  3. Step 3: Cross multiply
    3,462.61x = 5,190.82 × 1,270.83
  4. Step 4: Simplify right side
    3,462.61x = 6,596,649.78
  5. Step 5: Solve for x
    x = 6,596,649.78/3,462.61
  6. Step 6: Final answer
    x = 1,905.11

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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.