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Finding the Fourth Proportional to 2,313.15, 3,468.29 and 997.73

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Solution

The fourth proportional to 2,313.15, 3,468.29 and 997.73 is: 1,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.15 : 3,468.29 = 997.73 : x
  2. Step 2: Convert to fraction form
    2,313.15/3,468.29 = 997.73/x
  3. Step 3: Cross multiply
    2,313.15x = 3,468.29 × 997.73
  4. Step 4: Simplify right side
    2,313.15x = 3,460,411.99
  5. Step 5: Solve for x
    x = 3,460,411.99/2,313.15
  6. Step 6: Final answer
    x = 1,495.97

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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.