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Finding the Fourth Proportional to 2,613.61, 3,606.84 and 1,434.69

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Solution

The fourth proportional to 2,613.61, 3,606.84 and 1,434.69 is: 1,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.61 : 3,606.84 = 1,434.69 : x
  2. Step 2: Convert to fraction form
    2,613.61/3,606.84 = 1,434.69/x
  3. Step 3: Cross multiply
    2,613.61x = 3,606.84 × 1,434.69
  4. Step 4: Simplify right side
    2,613.61x = 5,174,697.28
  5. Step 5: Solve for x
    x = 5,174,697.28/2,613.61
  6. Step 6: Final answer
    x = 1,979.90

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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.