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Finding the Fourth Proportional to 2,618.42, 3,613.39 and 1,423.40

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Solution

The fourth proportional to 2,618.42, 3,613.39 and 1,423.40 is: 1,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.42 : 3,613.39 = 1,423.40 : x
  2. Step 2: Convert to fraction form
    2,618.42/3,613.39 = 1,423.40/x
  3. Step 3: Cross multiply
    2,618.42x = 3,613.39 × 1,423.40
  4. Step 4: Simplify right side
    2,618.42x = 5,143,284.00
  5. Step 5: Solve for x
    x = 5,143,284.00/2,618.42
  6. Step 6: Final answer
    x = 1,964.27

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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.