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Finding the Fourth Proportional to 2,613.36, 3,606.42 and 1,434.42

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Solution

The fourth proportional to 2,613.36, 3,606.42 and 1,434.42 is: 1,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.36 : 3,606.42 = 1,434.42 : x
  2. Step 2: Convert to fraction form
    2,613.36/3,606.42 = 1,434.42/x
  3. Step 3: Cross multiply
    2,613.36x = 3,606.42 × 1,434.42
  4. Step 4: Simplify right side
    2,613.36x = 5,173,129.99
  5. Step 5: Solve for x
    x = 5,173,129.99/2,613.36
  6. Step 6: Final answer
    x = 1,979.50

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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.