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Finding the Fourth Proportional to 3,178.84, 4,385.73 and 1,851.49

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Solution

The fourth proportional to 3,178.84, 4,385.73 and 1,851.49 is: 2,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.84 : 4,385.73 = 1,851.49 : x
  2. Step 2: Convert to fraction form
    3,178.84/4,385.73 = 1,851.49/x
  3. Step 3: Cross multiply
    3,178.84x = 4,385.73 × 1,851.49
  4. Step 4: Simplify right side
    3,178.84x = 8,120,135.24
  5. Step 5: Solve for x
    x = 8,120,135.24/3,178.84
  6. Step 6: Final answer
    x = 2,554.43

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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.