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Finding the Fourth Proportional to 2,287.42, 3,429.07 and 805.59

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Solution

The fourth proportional to 2,287.42, 3,429.07 and 805.59 is: 1,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.42 : 3,429.07 = 805.59 : x
  2. Step 2: Convert to fraction form
    2,287.42/3,429.07 = 805.59/x
  3. Step 3: Cross multiply
    2,287.42x = 3,429.07 × 805.59
  4. Step 4: Simplify right side
    2,287.42x = 2,762,422.49
  5. Step 5: Solve for x
    x = 2,762,422.49/2,287.42
  6. Step 6: Final answer
    x = 1,207.66

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