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Finding the Fourth Proportional to 3,063.76, 4,596.49 and 872.50

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Solution

The fourth proportional to 3,063.76, 4,596.49 and 872.50 is: 1,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.76 : 4,596.49 = 872.50 : x
  2. Step 2: Convert to fraction form
    3,063.76/4,596.49 = 872.50/x
  3. Step 3: Cross multiply
    3,063.76x = 4,596.49 × 872.50
  4. Step 4: Simplify right side
    3,063.76x = 4,010,437.53
  5. Step 5: Solve for x
    x = 4,010,437.53/3,063.76
  6. Step 6: Final answer
    x = 1,308.99

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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.