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Finding the Fourth Proportional to 2,130.44, 3,195.63 and 831.90

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Solution

The fourth proportional to 2,130.44, 3,195.63 and 831.90 is: 1,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.44 : 3,195.63 = 831.90 : x
  2. Step 2: Convert to fraction form
    2,130.44/3,195.63 = 831.90/x
  3. Step 3: Cross multiply
    2,130.44x = 3,195.63 × 831.90
  4. Step 4: Simplify right side
    2,130.44x = 2,658,444.60
  5. Step 5: Solve for x
    x = 2,658,444.60/2,130.44
  6. Step 6: Final answer
    x = 1,247.84

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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.