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Finding the Fourth Proportional to 2,305.26, 3,457.90 and 573.89

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Solution

The fourth proportional to 2,305.26, 3,457.90 and 573.89 is: 860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.26 : 3,457.90 = 573.89 : x
  2. Step 2: Convert to fraction form
    2,305.26/3,457.90 = 573.89/x
  3. Step 3: Cross multiply
    2,305.26x = 3,457.90 × 573.89
  4. Step 4: Simplify right side
    2,305.26x = 1,984,434.07
  5. Step 5: Solve for x
    x = 1,984,434.07/2,305.26
  6. Step 6: Final answer
    x = 860.83

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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.