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Finding the Fourth Proportional to 3,271.67, 4,909.41 and 1,297.47

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Solution

The fourth proportional to 3,271.67, 4,909.41 and 1,297.47 is: 1,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.67 : 4,909.41 = 1,297.47 : x
  2. Step 2: Convert to fraction form
    3,271.67/4,909.41 = 1,297.47/x
  3. Step 3: Cross multiply
    3,271.67x = 4,909.41 × 1,297.47
  4. Step 4: Simplify right side
    3,271.67x = 6,369,812.19
  5. Step 5: Solve for x
    x = 6,369,812.19/3,271.67
  6. Step 6: Final answer
    x = 1,946.96

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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.