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Finding the Fourth Proportional to 4,563.78, 6,845.61 and 1,101

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Solution

The fourth proportional to 4,563.78, 6,845.61 and 1,101 is: 1,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.78 : 6,845.61 = 1,101 : x
  2. Step 2: Convert to fraction form
    4,563.78/6,845.61 = 1,101/x
  3. Step 3: Cross multiply
    4,563.78x = 6,845.61 × 1,101
  4. Step 4: Simplify right side
    4,563.78x = 7,537,016.61
  5. Step 5: Solve for x
    x = 7,537,016.61/4,563.78
  6. Step 6: Final answer
    x = 1,651.49

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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.