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Finding the Fourth Proportional to 2,352.92, 3,244.32 and 1,607.31

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Solution

The fourth proportional to 2,352.92, 3,244.32 and 1,607.31 is: 2,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.92 : 3,244.32 = 1,607.31 : x
  2. Step 2: Convert to fraction form
    2,352.92/3,244.32 = 1,607.31/x
  3. Step 3: Cross multiply
    2,352.92x = 3,244.32 × 1,607.31
  4. Step 4: Simplify right side
    2,352.92x = 5,214,627.98
  5. Step 5: Solve for x
    x = 5,214,627.98/2,352.92
  6. Step 6: Final answer
    x = 2,216.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.