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Finding the Fourth Proportional to 2,613.47, 3,606.68 and 1,434.61

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Solution

The fourth proportional to 2,613.47, 3,606.68 and 1,434.61 is: 1,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.47 : 3,606.68 = 1,434.61 : x
  2. Step 2: Convert to fraction form
    2,613.47/3,606.68 = 1,434.61/x
  3. Step 3: Cross multiply
    2,613.47x = 3,606.68 × 1,434.61
  4. Step 4: Simplify right side
    2,613.47x = 5,174,179.19
  5. Step 5: Solve for x
    x = 5,174,179.19/2,613.47
  6. Step 6: Final answer
    x = 1,979.81

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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.