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Finding the Fourth Proportional to 1,771.92, 2,658.20 and 675.99

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Solution

The fourth proportional to 1,771.92, 2,658.20 and 675.99 is: 1,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.92 : 2,658.20 = 675.99 : x
  2. Step 2: Convert to fraction form
    1,771.92/2,658.20 = 675.99/x
  3. Step 3: Cross multiply
    1,771.92x = 2,658.20 × 675.99
  4. Step 4: Simplify right side
    1,771.92x = 1,796,913.24
  5. Step 5: Solve for x
    x = 1,796,913.24/1,771.92
  6. Step 6: Final answer
    x = 1,014.11

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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.