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Finding the Fourth Proportional to 2,154.13, 3,231.08 and 693.17

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Solution

The fourth proportional to 2,154.13, 3,231.08 and 693.17 is: 1,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.13 : 3,231.08 = 693.17 : x
  2. Step 2: Convert to fraction form
    2,154.13/3,231.08 = 693.17/x
  3. Step 3: Cross multiply
    2,154.13x = 3,231.08 × 693.17
  4. Step 4: Simplify right side
    2,154.13x = 2,239,687.72
  5. Step 5: Solve for x
    x = 2,239,687.72/2,154.13
  6. Step 6: Final answer
    x = 1,039.72

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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.