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Finding the Fourth Proportional to 2,468.14, 3,407.21 and 1,460.02

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Solution

The fourth proportional to 2,468.14, 3,407.21 and 1,460.02 is: 2,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.14 : 3,407.21 = 1,460.02 : x
  2. Step 2: Convert to fraction form
    2,468.14/3,407.21 = 1,460.02/x
  3. Step 3: Cross multiply
    2,468.14x = 3,407.21 × 1,460.02
  4. Step 4: Simplify right side
    2,468.14x = 4,974,589.88
  5. Step 5: Solve for x
    x = 4,974,589.88/2,468.14
  6. Step 6: Final answer
    x = 2,015.52

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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.