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Finding the Fourth Proportional to 2,468.13, 3,405.83 and 1,420.26

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Solution

The fourth proportional to 2,468.13, 3,405.83 and 1,420.26 is: 1,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.13 : 3,405.83 = 1,420.26 : x
  2. Step 2: Convert to fraction form
    2,468.13/3,405.83 = 1,420.26/x
  3. Step 3: Cross multiply
    2,468.13x = 3,405.83 × 1,420.26
  4. Step 4: Simplify right side
    2,468.13x = 4,837,157.01
  5. Step 5: Solve for x
    x = 4,837,157.01/2,468.13
  6. Step 6: Final answer
    x = 1,959.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.