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Finding the Fourth Proportional to 2,613.65, 3,606.89 and 1,434.72

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Solution

The fourth proportional to 2,613.65, 3,606.89 and 1,434.72 is: 1,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.65 : 3,606.89 = 1,434.72 : x
  2. Step 2: Convert to fraction form
    2,613.65/3,606.89 = 1,434.72/x
  3. Step 3: Cross multiply
    2,613.65x = 3,606.89 × 1,434.72
  4. Step 4: Simplify right side
    2,613.65x = 5,174,859.19
  5. Step 5: Solve for x
    x = 5,174,859.19/2,613.65
  6. Step 6: Final answer
    x = 1,979.94

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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.