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Finding the Fourth Proportional to 2,064.72, 3,096.60 and 831.60

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Solution

The fourth proportional to 2,064.72, 3,096.60 and 831.60 is: 1,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.72 : 3,096.60 = 831.60 : x
  2. Step 2: Convert to fraction form
    2,064.72/3,096.60 = 831.60/x
  3. Step 3: Cross multiply
    2,064.72x = 3,096.60 × 831.60
  4. Step 4: Simplify right side
    2,064.72x = 2,575,132.56
  5. Step 5: Solve for x
    x = 2,575,132.56/2,064.72
  6. Step 6: Final answer
    x = 1,247.21

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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.