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Finding the Fourth Proportional to 2,232.50, 3,348.75 and 771.26

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Solution

The fourth proportional to 2,232.50, 3,348.75 and 771.26 is: 1,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.50 : 3,348.75 = 771.26 : x
  2. Step 2: Convert to fraction form
    2,232.50/3,348.75 = 771.26/x
  3. Step 3: Cross multiply
    2,232.50x = 3,348.75 × 771.26
  4. Step 4: Simplify right side
    2,232.50x = 2,582,756.93
  5. Step 5: Solve for x
    x = 2,582,756.93/2,232.50
  6. Step 6: Final answer
    x = 1,156.89

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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.