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Finding the Fourth Proportional to 2,225.37, 3,337.83 and 764.63

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Solution

The fourth proportional to 2,225.37, 3,337.83 and 764.63 is: 1,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.37 : 3,337.83 = 764.63 : x
  2. Step 2: Convert to fraction form
    2,225.37/3,337.83 = 764.63/x
  3. Step 3: Cross multiply
    2,225.37x = 3,337.83 × 764.63
  4. Step 4: Simplify right side
    2,225.37x = 2,552,188.26
  5. Step 5: Solve for x
    x = 2,552,188.26/2,225.37
  6. Step 6: Final answer
    x = 1,146.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.