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Finding the Fourth Proportional to 3,265.85, 4,898.78 and 926.11

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Solution

The fourth proportional to 3,265.85, 4,898.78 and 926.11 is: 1,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.85 : 4,898.78 = 926.11 : x
  2. Step 2: Convert to fraction form
    3,265.85/4,898.78 = 926.11/x
  3. Step 3: Cross multiply
    3,265.85x = 4,898.78 × 926.11
  4. Step 4: Simplify right side
    3,265.85x = 4,536,814.11
  5. Step 5: Solve for x
    x = 4,536,814.11/3,265.85
  6. Step 6: Final answer
    x = 1,389.17

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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.