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Finding the Fourth Proportional to 2,468.07, 3,697.21 and 1,296.30

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Solution

The fourth proportional to 2,468.07, 3,697.21 and 1,296.30 is: 1,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.07 : 3,697.21 = 1,296.30 : x
  2. Step 2: Convert to fraction form
    2,468.07/3,697.21 = 1,296.30/x
  3. Step 3: Cross multiply
    2,468.07x = 3,697.21 × 1,296.30
  4. Step 4: Simplify right side
    2,468.07x = 4,792,708.81
  5. Step 5: Solve for x
    x = 4,792,708.81/2,468.07
  6. Step 6: Final answer
    x = 1,941.89

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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.