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Finding the Fourth Proportional to 2,324.57, 3,478.12 and 1,384.07

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Solution

The fourth proportional to 2,324.57, 3,478.12 and 1,384.07 is: 2,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.57 : 3,478.12 = 1,384.07 : x
  2. Step 2: Convert to fraction form
    2,324.57/3,478.12 = 1,384.07/x
  3. Step 3: Cross multiply
    2,324.57x = 3,478.12 × 1,384.07
  4. Step 4: Simplify right side
    2,324.57x = 4,813,940.70
  5. Step 5: Solve for x
    x = 4,813,940.70/2,324.57
  6. Step 6: Final answer
    x = 2,070.89

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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.