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Finding the Fourth Proportional to 2,490.27, 3,735.22 and 929.67

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Solution

The fourth proportional to 2,490.27, 3,735.22 and 929.67 is: 1,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.27 : 3,735.22 = 929.67 : x
  2. Step 2: Convert to fraction form
    2,490.27/3,735.22 = 929.67/x
  3. Step 3: Cross multiply
    2,490.27x = 3,735.22 × 929.67
  4. Step 4: Simplify right side
    2,490.27x = 3,472,498.65
  5. Step 5: Solve for x
    x = 3,472,498.65/2,490.27
  6. Step 6: Final answer
    x = 1,394.43

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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.