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Finding the Fourth Proportional to 2,310.64, 3,468.36 and 1,338.64

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Solution

The fourth proportional to 2,310.64, 3,468.36 and 1,338.64 is: 2,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.64 : 3,468.36 = 1,338.64 : x
  2. Step 2: Convert to fraction form
    2,310.64/3,468.36 = 1,338.64/x
  3. Step 3: Cross multiply
    2,310.64x = 3,468.36 × 1,338.64
  4. Step 4: Simplify right side
    2,310.64x = 4,642,885.43
  5. Step 5: Solve for x
    x = 4,642,885.43/2,310.64
  6. Step 6: Final answer
    x = 2,009.35

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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.