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Finding the Fourth Proportional to 3,048.40, 4,204.50 and 1,914.40

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Solution

The fourth proportional to 3,048.40, 4,204.50 and 1,914.40 is: 2,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.40 : 4,204.50 = 1,914.40 : x
  2. Step 2: Convert to fraction form
    3,048.40/4,204.50 = 1,914.40/x
  3. Step 3: Cross multiply
    3,048.40x = 4,204.50 × 1,914.40
  4. Step 4: Simplify right side
    3,048.40x = 8,049,094.80
  5. Step 5: Solve for x
    x = 8,049,094.80/3,048.40
  6. Step 6: Final answer
    x = 2,640.43

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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.