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Finding the Fourth Proportional to 2,287.09, 3,429.33 and 726.79

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Solution

The fourth proportional to 2,287.09, 3,429.33 and 726.79 is: 1,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.09 : 3,429.33 = 726.79 : x
  2. Step 2: Convert to fraction form
    2,287.09/3,429.33 = 726.79/x
  3. Step 3: Cross multiply
    2,287.09x = 3,429.33 × 726.79
  4. Step 4: Simplify right side
    2,287.09x = 2,492,385.60
  5. Step 5: Solve for x
    x = 2,492,385.60/2,287.09
  6. Step 6: Final answer
    x = 1,089.77

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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.