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Finding the Fourth Proportional to 2,313.72, 3,468.24 and 1,157.04

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Solution

The fourth proportional to 2,313.72, 3,468.24 and 1,157.04 is: 1,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.72 : 3,468.24 = 1,157.04 : x
  2. Step 2: Convert to fraction form
    2,313.72/3,468.24 = 1,157.04/x
  3. Step 3: Cross multiply
    2,313.72x = 3,468.24 × 1,157.04
  4. Step 4: Simplify right side
    2,313.72x = 4,012,892.41
  5. Step 5: Solve for x
    x = 4,012,892.41/2,313.72
  6. Step 6: Final answer
    x = 1,734.39

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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.