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Finding the Fourth Proportional to 2,305.68, 3,458.49 and 574.30

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Solution

The fourth proportional to 2,305.68, 3,458.49 and 574.30 is: 861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.68 : 3,458.49 = 574.30 : x
  2. Step 2: Convert to fraction form
    2,305.68/3,458.49 = 574.30/x
  3. Step 3: Cross multiply
    2,305.68x = 3,458.49 × 574.30
  4. Step 4: Simplify right side
    2,305.68x = 1,986,210.81
  5. Step 5: Solve for x
    x = 1,986,210.81/2,305.68
  6. Step 6: Final answer
    x = 861.44

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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.