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Finding the Fourth Proportional to 2,245.32, 3,369.20 and 946.76

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Solution

The fourth proportional to 2,245.32, 3,369.20 and 946.76 is: 1,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.32 : 3,369.20 = 946.76 : x
  2. Step 2: Convert to fraction form
    2,245.32/3,369.20 = 946.76/x
  3. Step 3: Cross multiply
    2,245.32x = 3,369.20 × 946.76
  4. Step 4: Simplify right side
    2,245.32x = 3,189,823.79
  5. Step 5: Solve for x
    x = 3,189,823.79/2,245.32
  6. Step 6: Final answer
    x = 1,420.65

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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.