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Finding the Fourth Proportional to 3,180.48, 4,384.74 and 2,385

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Solution

The fourth proportional to 3,180.48, 4,384.74 and 2,385 is: 3,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.48 : 4,384.74 = 2,385 : x
  2. Step 2: Convert to fraction form
    3,180.48/4,384.74 = 2,385/x
  3. Step 3: Cross multiply
    3,180.48x = 4,384.74 × 2,385
  4. Step 4: Simplify right side
    3,180.48x = 10,457,604.90
  5. Step 5: Solve for x
    x = 10,457,604.90/3,180.48
  6. Step 6: Final answer
    x = 3,288.06

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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.