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Finding the Fourth Proportional to 2,647.54, 3,653.64 and 1,468.58

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Solution

The fourth proportional to 2,647.54, 3,653.64 and 1,468.58 is: 2,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.54 : 3,653.64 = 1,468.58 : x
  2. Step 2: Convert to fraction form
    2,647.54/3,653.64 = 1,468.58/x
  3. Step 3: Cross multiply
    2,647.54x = 3,653.64 × 1,468.58
  4. Step 4: Simplify right side
    2,647.54x = 5,365,662.63
  5. Step 5: Solve for x
    x = 5,365,662.63/2,647.54
  6. Step 6: Final answer
    x = 2,026.66

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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.