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Finding the Fourth Proportional to 2,300.40, 3,446.96 and 1,781.66

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Solution

The fourth proportional to 2,300.40, 3,446.96 and 1,781.66 is: 2,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.40 : 3,446.96 = 1,781.66 : x
  2. Step 2: Convert to fraction form
    2,300.40/3,446.96 = 1,781.66/x
  3. Step 3: Cross multiply
    2,300.40x = 3,446.96 × 1,781.66
  4. Step 4: Simplify right side
    2,300.40x = 6,141,310.46
  5. Step 5: Solve for x
    x = 6,141,310.46/2,300.40
  6. Step 6: Final answer
    x = 2,669.67

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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.