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Finding the Fourth Proportional to 2,313.55, 3,470.15 and 997.25

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Solution

The fourth proportional to 2,313.55, 3,470.15 and 997.25 is: 1,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.55 : 3,470.15 = 997.25 : x
  2. Step 2: Convert to fraction form
    2,313.55/3,470.15 = 997.25/x
  3. Step 3: Cross multiply
    2,313.55x = 3,470.15 × 997.25
  4. Step 4: Simplify right side
    2,313.55x = 3,460,608.27
  5. Step 5: Solve for x
    x = 3,460,608.27/2,313.55
  6. Step 6: Final answer
    x = 1,495.80

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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.