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Finding the Fourth Proportional to 2,324.66, 3,484.83 and 1,025.42

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Solution

The fourth proportional to 2,324.66, 3,484.83 and 1,025.42 is: 1,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.66 : 3,484.83 = 1,025.42 : x
  2. Step 2: Convert to fraction form
    2,324.66/3,484.83 = 1,025.42/x
  3. Step 3: Cross multiply
    2,324.66x = 3,484.83 × 1,025.42
  4. Step 4: Simplify right side
    2,324.66x = 3,573,414.38
  5. Step 5: Solve for x
    x = 3,573,414.38/2,324.66
  6. Step 6: Final answer
    x = 1,537.18

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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.