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Finding the Fourth Proportional to 2,173.45, 3,260.58 and 712.69

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Solution

The fourth proportional to 2,173.45, 3,260.58 and 712.69 is: 1,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.45 : 3,260.58 = 712.69 : x
  2. Step 2: Convert to fraction form
    2,173.45/3,260.58 = 712.69/x
  3. Step 3: Cross multiply
    2,173.45x = 3,260.58 × 712.69
  4. Step 4: Simplify right side
    2,173.45x = 2,323,782.76
  5. Step 5: Solve for x
    x = 2,323,782.76/2,173.45
  6. Step 6: Final answer
    x = 1,069.17

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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.