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Finding the Fourth Proportional to 3,181.34, 4,391.08 and 1,784.54

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Solution

The fourth proportional to 3,181.34, 4,391.08 and 1,784.54 is: 2,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.34 : 4,391.08 = 1,784.54 : x
  2. Step 2: Convert to fraction form
    3,181.34/4,391.08 = 1,784.54/x
  3. Step 3: Cross multiply
    3,181.34x = 4,391.08 × 1,784.54
  4. Step 4: Simplify right side
    3,181.34x = 7,836,031.49
  5. Step 5: Solve for x
    x = 7,836,031.49/3,181.34
  6. Step 6: Final answer
    x = 2,463.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.