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Finding the Fourth Proportional to 2,557.64, 3,834.52 and 1,324.27

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Solution

The fourth proportional to 2,557.64, 3,834.52 and 1,324.27 is: 1,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.64 : 3,834.52 = 1,324.27 : x
  2. Step 2: Convert to fraction form
    2,557.64/3,834.52 = 1,324.27/x
  3. Step 3: Cross multiply
    2,557.64x = 3,834.52 × 1,324.27
  4. Step 4: Simplify right side
    2,557.64x = 5,077,927.16
  5. Step 5: Solve for x
    x = 5,077,927.16/2,557.64
  6. Step 6: Final answer
    x = 1,985.39

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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.