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Finding the Fourth Proportional to 2,225.35, 3,337.87 and 764.47

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Solution

The fourth proportional to 2,225.35, 3,337.87 and 764.47 is: 1,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.35 : 3,337.87 = 764.47 : x
  2. Step 2: Convert to fraction form
    2,225.35/3,337.87 = 764.47/x
  3. Step 3: Cross multiply
    2,225.35x = 3,337.87 × 764.47
  4. Step 4: Simplify right side
    2,225.35x = 2,551,697.66
  5. Step 5: Solve for x
    x = 2,551,697.66/2,225.35
  6. Step 6: Final answer
    x = 1,146.65

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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.