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Finding the Fourth Proportional to 2,426.64, 3,634.86 and 1,768.08

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Solution

The fourth proportional to 2,426.64, 3,634.86 and 1,768.08 is: 2,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.64 : 3,634.86 = 1,768.08 : x
  2. Step 2: Convert to fraction form
    2,426.64/3,634.86 = 1,768.08/x
  3. Step 3: Cross multiply
    2,426.64x = 3,634.86 × 1,768.08
  4. Step 4: Simplify right side
    2,426.64x = 6,426,723.27
  5. Step 5: Solve for x
    x = 6,426,723.27/2,426.64
  6. Step 6: Final answer
    x = 2,648.40

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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.