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Finding the Fourth Proportional to 4,505.50, 6,757.74 and 1,218.40

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Solution

The fourth proportional to 4,505.50, 6,757.74 and 1,218.40 is: 1,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.50 : 6,757.74 = 1,218.40 : x
  2. Step 2: Convert to fraction form
    4,505.50/6,757.74 = 1,218.40/x
  3. Step 3: Cross multiply
    4,505.50x = 6,757.74 × 1,218.40
  4. Step 4: Simplify right side
    4,505.50x = 8,233,630.42
  5. Step 5: Solve for x
    x = 8,233,630.42/4,505.50
  6. Step 6: Final answer
    x = 1,827.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.