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Finding the Fourth Proportional to 2,468.13, 3,697.31 and 1,296.37

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Solution

The fourth proportional to 2,468.13, 3,697.31 and 1,296.37 is: 1,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.13 : 3,697.31 = 1,296.37 : x
  2. Step 2: Convert to fraction form
    2,468.13/3,697.31 = 1,296.37/x
  3. Step 3: Cross multiply
    2,468.13x = 3,697.31 × 1,296.37
  4. Step 4: Simplify right side
    2,468.13x = 4,793,075.28
  5. Step 5: Solve for x
    x = 4,793,075.28/2,468.13
  6. Step 6: Final answer
    x = 1,941.99

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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.