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Finding the Fourth Proportional to 3,266.32, 4,898.55 and 926.17

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Solution

The fourth proportional to 3,266.32, 4,898.55 and 926.17 is: 1,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.32 : 4,898.55 = 926.17 : x
  2. Step 2: Convert to fraction form
    3,266.32/4,898.55 = 926.17/x
  3. Step 3: Cross multiply
    3,266.32x = 4,898.55 × 926.17
  4. Step 4: Simplify right side
    3,266.32x = 4,536,890.05
  5. Step 5: Solve for x
    x = 4,536,890.05/3,266.32
  6. Step 6: Final answer
    x = 1,388.99

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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.