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Finding the Fourth Proportional to 2,305.79, 3,458.68 and 574.41

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Solution

The fourth proportional to 2,305.79, 3,458.68 and 574.41 is: 861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.79 : 3,458.68 = 574.41 : x
  2. Step 2: Convert to fraction form
    2,305.79/3,458.68 = 574.41/x
  3. Step 3: Cross multiply
    2,305.79x = 3,458.68 × 574.41
  4. Step 4: Simplify right side
    2,305.79x = 1,986,700.38
  5. Step 5: Solve for x
    x = 1,986,700.38/2,305.79
  6. Step 6: Final answer
    x = 861.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.