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Finding the Fourth Proportional to 3,266.19, 4,898.56 and 926.14

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Solution

The fourth proportional to 3,266.19, 4,898.56 and 926.14 is: 1,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.19 : 4,898.56 = 926.14 : x
  2. Step 2: Convert to fraction form
    3,266.19/4,898.56 = 926.14/x
  3. Step 3: Cross multiply
    3,266.19x = 4,898.56 × 926.14
  4. Step 4: Simplify right side
    3,266.19x = 4,536,752.36
  5. Step 5: Solve for x
    x = 4,536,752.36/3,266.19
  6. Step 6: Final answer
    x = 1,389.01

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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.