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Finding the Fourth Proportional to 2,064.61, 3,096.73 and 831.23

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Solution

The fourth proportional to 2,064.61, 3,096.73 and 831.23 is: 1,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.61 : 3,096.73 = 831.23 : x
  2. Step 2: Convert to fraction form
    2,064.61/3,096.73 = 831.23/x
  3. Step 3: Cross multiply
    2,064.61x = 3,096.73 × 831.23
  4. Step 4: Simplify right side
    2,064.61x = 2,574,094.88
  5. Step 5: Solve for x
    x = 2,574,094.88/2,064.61
  6. Step 6: Final answer
    x = 1,246.77

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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.