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Finding the Fourth Proportional to 2,769.59, 4,153.91 and 1,014.50

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Solution

The fourth proportional to 2,769.59, 4,153.91 and 1,014.50 is: 1,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.59 : 4,153.91 = 1,014.50 : x
  2. Step 2: Convert to fraction form
    2,769.59/4,153.91 = 1,014.50/x
  3. Step 3: Cross multiply
    2,769.59x = 4,153.91 × 1,014.50
  4. Step 4: Simplify right side
    2,769.59x = 4,214,115.85
  5. Step 5: Solve for x
    x = 4,214,115.85/2,769.59
  6. Step 6: Final answer
    x = 1,521.57

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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.