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Finding the Fourth Proportional to 3,181.34, 4,748.76 and 2,946.84

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Solution

The fourth proportional to 3,181.34, 4,748.76 and 2,946.84 is: 4,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.34 : 4,748.76 = 2,946.84 : x
  2. Step 2: Convert to fraction form
    3,181.34/4,748.76 = 2,946.84/x
  3. Step 3: Cross multiply
    3,181.34x = 4,748.76 × 2,946.84
  4. Step 4: Simplify right side
    3,181.34x = 13,993,835.92
  5. Step 5: Solve for x
    x = 13,993,835.92/3,181.34
  6. Step 6: Final answer
    x = 4,398.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.