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Finding the Fourth Proportional to 3,045.67, 4,563.13 and 2,166.87

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Solution

The fourth proportional to 3,045.67, 4,563.13 and 2,166.87 is: 3,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.67 : 4,563.13 = 2,166.87 : x
  2. Step 2: Convert to fraction form
    3,045.67/4,563.13 = 2,166.87/x
  3. Step 3: Cross multiply
    3,045.67x = 4,563.13 × 2,166.87
  4. Step 4: Simplify right side
    3,045.67x = 9,887,709.50
  5. Step 5: Solve for x
    x = 9,887,709.50/3,045.67
  6. Step 6: Final answer
    x = 3,246.48

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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.