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Finding the Fourth Proportional to 2,174.17, 3,260.28 and 693.12

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Solution

The fourth proportional to 2,174.17, 3,260.28 and 693.12 is: 1,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.17 : 3,260.28 = 693.12 : x
  2. Step 2: Convert to fraction form
    2,174.17/3,260.28 = 693.12/x
  3. Step 3: Cross multiply
    2,174.17x = 3,260.28 × 693.12
  4. Step 4: Simplify right side
    2,174.17x = 2,259,752.59
  5. Step 5: Solve for x
    x = 2,259,752.59/2,174.17
  6. Step 6: Final answer
    x = 1,039.36

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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.