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Finding the Fourth Proportional to 2,613.45, 3,606.56 and 1,434.50

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Solution

The fourth proportional to 2,613.45, 3,606.56 and 1,434.50 is: 1,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.45 : 3,606.56 = 1,434.50 : x
  2. Step 2: Convert to fraction form
    2,613.45/3,606.56 = 1,434.50/x
  3. Step 3: Cross multiply
    2,613.45x = 3,606.56 × 1,434.50
  4. Step 4: Simplify right side
    2,613.45x = 5,173,604.02
  5. Step 5: Solve for x
    x = 5,173,604.02/2,613.45
  6. Step 6: Final answer
    x = 1,979.60

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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.