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Finding the Fourth Proportional to 1,461.11, 2,016.27 and 831.67

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Solution

The fourth proportional to 1,461.11, 2,016.27 and 831.67 is: 1,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.11 : 2,016.27 = 831.67 : x
  2. Step 2: Convert to fraction form
    1,461.11/2,016.27 = 831.67/x
  3. Step 3: Cross multiply
    1,461.11x = 2,016.27 × 831.67
  4. Step 4: Simplify right side
    1,461.11x = 1,676,863.89
  5. Step 5: Solve for x
    x = 1,676,863.89/1,461.11
  6. Step 6: Final answer
    x = 1,147.66

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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.