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Finding the Fourth Proportional to 4,689.70, 7,031.82 and 1,768.24

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Solution

The fourth proportional to 4,689.70, 7,031.82 and 1,768.24 is: 2,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.70 : 7,031.82 = 1,768.24 : x
  2. Step 2: Convert to fraction form
    4,689.70/7,031.82 = 1,768.24/x
  3. Step 3: Cross multiply
    4,689.70x = 7,031.82 × 1,768.24
  4. Step 4: Simplify right side
    4,689.70x = 12,433,945.40
  5. Step 5: Solve for x
    x = 12,433,945.40/4,689.70
  6. Step 6: Final answer
    x = 2,651.33

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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.