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Finding the Fourth Proportional to 2,613.59, 3,606.64 and 1,434.58

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Solution

The fourth proportional to 2,613.59, 3,606.64 and 1,434.58 is: 1,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.59 : 3,606.64 = 1,434.58 : x
  2. Step 2: Convert to fraction form
    2,613.59/3,606.64 = 1,434.58/x
  3. Step 3: Cross multiply
    2,613.59x = 3,606.64 × 1,434.58
  4. Step 4: Simplify right side
    2,613.59x = 5,174,029.37
  5. Step 5: Solve for x
    x = 5,174,029.37/2,613.59
  6. Step 6: Final answer
    x = 1,979.66

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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.