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Finding the Fourth Proportional to 2,470.57, 3,707.31 and 911.67

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Solution

The fourth proportional to 2,470.57, 3,707.31 and 911.67 is: 1,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.57 : 3,707.31 = 911.67 : x
  2. Step 2: Convert to fraction form
    2,470.57/3,707.31 = 911.67/x
  3. Step 3: Cross multiply
    2,470.57x = 3,707.31 × 911.67
  4. Step 4: Simplify right side
    2,470.57x = 3,379,843.31
  5. Step 5: Solve for x
    x = 3,379,843.31/2,470.57
  6. Step 6: Final answer
    x = 1,368.04

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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.