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Finding the Fourth Proportional to 2,618.64, 3,613.73 and 1,423.61

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Solution

The fourth proportional to 2,618.64, 3,613.73 and 1,423.61 is: 1,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.64 : 3,613.73 = 1,423.61 : x
  2. Step 2: Convert to fraction form
    2,618.64/3,613.73 = 1,423.61/x
  3. Step 3: Cross multiply
    2,618.64x = 3,613.73 × 1,423.61
  4. Step 4: Simplify right side
    2,618.64x = 5,144,516.98
  5. Step 5: Solve for x
    x = 5,144,516.98/2,618.64
  6. Step 6: Final answer
    x = 1,964.58

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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.