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Finding the Fourth Proportional to 2,305.84, 3,458.80 and 574.47

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Solution

The fourth proportional to 2,305.84, 3,458.80 and 574.47 is: 861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.84 : 3,458.80 = 574.47 : x
  2. Step 2: Convert to fraction form
    2,305.84/3,458.80 = 574.47/x
  3. Step 3: Cross multiply
    2,305.84x = 3,458.80 × 574.47
  4. Step 4: Simplify right side
    2,305.84x = 1,986,976.84
  5. Step 5: Solve for x
    x = 1,986,976.84/2,305.84
  6. Step 6: Final answer
    x = 861.71

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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.