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Finding the Fourth Proportional to 2,263.48, 3,396.03 and 1,289.86

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Solution

The fourth proportional to 2,263.48, 3,396.03 and 1,289.86 is: 1,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.48 : 3,396.03 = 1,289.86 : x
  2. Step 2: Convert to fraction form
    2,263.48/3,396.03 = 1,289.86/x
  3. Step 3: Cross multiply
    2,263.48x = 3,396.03 × 1,289.86
  4. Step 4: Simplify right side
    2,263.48x = 4,380,403.26
  5. Step 5: Solve for x
    x = 4,380,403.26/2,263.48
  6. Step 6: Final answer
    x = 1,935.25

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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.