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Finding the Fourth Proportional to 1,421.46, 1,961.46 and 831.96

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Solution

The fourth proportional to 1,421.46, 1,961.46 and 831.96 is: 1,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.46 : 1,961.46 = 831.96 : x
  2. Step 2: Convert to fraction form
    1,421.46/1,961.46 = 831.96/x
  3. Step 3: Cross multiply
    1,421.46x = 1,961.46 × 831.96
  4. Step 4: Simplify right side
    1,421.46x = 1,631,856.26
  5. Step 5: Solve for x
    x = 1,631,856.26/1,421.46
  6. Step 6: Final answer
    x = 1,148.01

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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.