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Finding the Fourth Proportional to 2,154.16, 3,231.87 and 693.27

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Solution

The fourth proportional to 2,154.16, 3,231.87 and 693.27 is: 1,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.16 : 3,231.87 = 693.27 : x
  2. Step 2: Convert to fraction form
    2,154.16/3,231.87 = 693.27/x
  3. Step 3: Cross multiply
    2,154.16x = 3,231.87 × 693.27
  4. Step 4: Simplify right side
    2,154.16x = 2,240,566.59
  5. Step 5: Solve for x
    x = 2,240,566.59/2,154.16
  6. Step 6: Final answer
    x = 1,040.11

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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.