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Finding the Fourth Proportional to 2,311.65, 3,190.43 and 1,472.72

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Solution

The fourth proportional to 2,311.65, 3,190.43 and 1,472.72 is: 2,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.65 : 3,190.43 = 1,472.72 : x
  2. Step 2: Convert to fraction form
    2,311.65/3,190.43 = 1,472.72/x
  3. Step 3: Cross multiply
    2,311.65x = 3,190.43 × 1,472.72
  4. Step 4: Simplify right side
    2,311.65x = 4,698,586.75
  5. Step 5: Solve for x
    x = 4,698,586.75/2,311.65
  6. Step 6: Final answer
    x = 2,032.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.