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Finding the Fourth Proportional to 2,172.91, 3,259.57 and 712.07

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Solution

The fourth proportional to 2,172.91, 3,259.57 and 712.07 is: 1,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.91 : 3,259.57 = 712.07 : x
  2. Step 2: Convert to fraction form
    2,172.91/3,259.57 = 712.07/x
  3. Step 3: Cross multiply
    2,172.91x = 3,259.57 × 712.07
  4. Step 4: Simplify right side
    2,172.91x = 2,321,042.01
  5. Step 5: Solve for x
    x = 2,321,042.01/2,172.91
  6. Step 6: Final answer
    x = 1,068.17

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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.