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Finding the Fourth Proportional to 2,324.64, 3,483.60 and 1,296.48

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Solution

The fourth proportional to 2,324.64, 3,483.60 and 1,296.48 is: 1,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.64 : 3,483.60 = 1,296.48 : x
  2. Step 2: Convert to fraction form
    2,324.64/3,483.60 = 1,296.48/x
  3. Step 3: Cross multiply
    2,324.64x = 3,483.60 × 1,296.48
  4. Step 4: Simplify right side
    2,324.64x = 4,516,417.73
  5. Step 5: Solve for x
    x = 4,516,417.73/2,324.64
  6. Step 6: Final answer
    x = 1,942.85

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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.