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Finding the Fourth Proportional to 2,296.96, 3,424.86 and 2,255.50

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Solution

The fourth proportional to 2,296.96, 3,424.86 and 2,255.50 is: 3,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.96 : 3,424.86 = 2,255.50 : x
  2. Step 2: Convert to fraction form
    2,296.96/3,424.86 = 2,255.50/x
  3. Step 3: Cross multiply
    2,296.96x = 3,424.86 × 2,255.50
  4. Step 4: Simplify right side
    2,296.96x = 7,724,750.40
  5. Step 5: Solve for x
    x = 7,724,750.40/2,296.96
  6. Step 6: Final answer
    x = 3,363.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.