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Finding the Fourth Proportional to 2,618.20, 3,613.19 and 1,423.27

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Solution

The fourth proportional to 2,618.20, 3,613.19 and 1,423.27 is: 1,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.20 : 3,613.19 = 1,423.27 : x
  2. Step 2: Convert to fraction form
    2,618.20/3,613.19 = 1,423.27/x
  3. Step 3: Cross multiply
    2,618.20x = 3,613.19 × 1,423.27
  4. Step 4: Simplify right side
    2,618.20x = 5,142,541.32
  5. Step 5: Solve for x
    x = 5,142,541.32/2,618.20
  6. Step 6: Final answer
    x = 1,964.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.