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Finding the Fourth Proportional to 2,468.13, 3,406.01 and 1,364.13

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Solution

The fourth proportional to 2,468.13, 3,406.01 and 1,364.13 is: 1,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.13 : 3,406.01 = 1,364.13 : x
  2. Step 2: Convert to fraction form
    2,468.13/3,406.01 = 1,364.13/x
  3. Step 3: Cross multiply
    2,468.13x = 3,406.01 × 1,364.13
  4. Step 4: Simplify right side
    2,468.13x = 4,646,226.80
  5. Step 5: Solve for x
    x = 4,646,226.80/2,468.13
  6. Step 6: Final answer
    x = 1,882.49

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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.