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Finding the Fourth Proportional to 4,505.84, 6,757.95 and 1,218.50

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Solution

The fourth proportional to 4,505.84, 6,757.95 and 1,218.50 is: 1,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.84 : 6,757.95 = 1,218.50 : x
  2. Step 2: Convert to fraction form
    4,505.84/6,757.95 = 1,218.50/x
  3. Step 3: Cross multiply
    4,505.84x = 6,757.95 × 1,218.50
  4. Step 4: Simplify right side
    4,505.84x = 8,234,528.29
  5. Step 5: Solve for x
    x = 8,234,528.29/4,505.84
  6. Step 6: Final answer
    x = 1,827.53

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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.