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Finding the Fourth Proportional to 2,324.58, 3,478.16 and 1,384.09

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Solution

The fourth proportional to 2,324.58, 3,478.16 and 1,384.09 is: 2,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.58 : 3,478.16 = 1,384.09 : x
  2. Step 2: Convert to fraction form
    2,324.58/3,478.16 = 1,384.09/x
  3. Step 3: Cross multiply
    2,324.58x = 3,478.16 × 1,384.09
  4. Step 4: Simplify right side
    2,324.58x = 4,814,073.45
  5. Step 5: Solve for x
    x = 4,814,073.45/2,324.58
  6. Step 6: Final answer
    x = 2,070.94

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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.