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Finding the Fourth Proportional to 3,146.70, 4,721.87 and 1,297.47

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Solution

The fourth proportional to 3,146.70, 4,721.87 and 1,297.47 is: 1,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.70 : 4,721.87 = 1,297.47 : x
  2. Step 2: Convert to fraction form
    3,146.70/4,721.87 = 1,297.47/x
  3. Step 3: Cross multiply
    3,146.70x = 4,721.87 × 1,297.47
  4. Step 4: Simplify right side
    3,146.70x = 6,126,487.91
  5. Step 5: Solve for x
    x = 6,126,487.91/3,146.70
  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.