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Finding the Fourth Proportional to 2,647.56, 3,653.58 and 1,468.59

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Solution

The fourth proportional to 2,647.56, 3,653.58 and 1,468.59 is: 2,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.56 : 3,653.58 = 1,468.59 : x
  2. Step 2: Convert to fraction form
    2,647.56/3,653.58 = 1,468.59/x
  3. Step 3: Cross multiply
    2,647.56x = 3,653.58 × 1,468.59
  4. Step 4: Simplify right side
    2,647.56x = 5,365,611.05
  5. Step 5: Solve for x
    x = 5,365,611.05/2,647.56
  6. Step 6: Final answer
    x = 2,026.62

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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.