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Finding the Fourth Proportional to 1,613.67, 2,220.16 and 1,423.83

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Solution

The fourth proportional to 1,613.67, 2,220.16 and 1,423.83 is: 1,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.67 : 2,220.16 = 1,423.83 : x
  2. Step 2: Convert to fraction form
    1,613.67/2,220.16 = 1,423.83/x
  3. Step 3: Cross multiply
    1,613.67x = 2,220.16 × 1,423.83
  4. Step 4: Simplify right side
    1,613.67x = 3,161,125.36
  5. Step 5: Solve for x
    x = 3,161,125.36/1,613.67
  6. Step 6: Final answer
    x = 1,958.96

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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.