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Finding the Fourth Proportional to 2,147.99, 3,222.45 and 687.29

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Solution

The fourth proportional to 2,147.99, 3,222.45 and 687.29 is: 1,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.99 : 3,222.45 = 687.29 : x
  2. Step 2: Convert to fraction form
    2,147.99/3,222.45 = 687.29/x
  3. Step 3: Cross multiply
    2,147.99x = 3,222.45 × 687.29
  4. Step 4: Simplify right side
    2,147.99x = 2,214,741.55
  5. Step 5: Solve for x
    x = 2,214,741.55/2,147.99
  6. Step 6: Final answer
    x = 1,031.08

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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.