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Finding the Fourth Proportional to 2,647.48, 3,653.74 and 1,468.53

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Solution

The fourth proportional to 2,647.48, 3,653.74 and 1,468.53 is: 2,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.48 : 3,653.74 = 1,468.53 : x
  2. Step 2: Convert to fraction form
    2,647.48/3,653.74 = 1,468.53/x
  3. Step 3: Cross multiply
    2,647.48x = 3,653.74 × 1,468.53
  4. Step 4: Simplify right side
    2,647.48x = 5,365,626.80
  5. Step 5: Solve for x
    x = 5,365,626.80/2,647.48
  6. Step 6: Final answer
    x = 2,026.69

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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.