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Finding the Fourth Proportional to 2,502.46, 3,744.39 and 1,573.68

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Solution

The fourth proportional to 2,502.46, 3,744.39 and 1,573.68 is: 2,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.46 : 3,744.39 = 1,573.68 : x
  2. Step 2: Convert to fraction form
    2,502.46/3,744.39 = 1,573.68/x
  3. Step 3: Cross multiply
    2,502.46x = 3,744.39 × 1,573.68
  4. Step 4: Simplify right side
    2,502.46x = 5,892,471.66
  5. Step 5: Solve for x
    x = 5,892,471.66/2,502.46
  6. Step 6: Final answer
    x = 2,354.67

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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.