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Finding the Fourth Proportional to 3,063.67, 4,594.68 and 872.50

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Solution

The fourth proportional to 3,063.67, 4,594.68 and 872.50 is: 1,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.67 : 4,594.68 = 872.50 : x
  2. Step 2: Convert to fraction form
    3,063.67/4,594.68 = 872.50/x
  3. Step 3: Cross multiply
    3,063.67x = 4,594.68 × 872.50
  4. Step 4: Simplify right side
    3,063.67x = 4,008,858.30
  5. Step 5: Solve for x
    x = 4,008,858.30/3,063.67
  6. Step 6: Final answer
    x = 1,308.52

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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.