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Finding the Fourth Proportional to 2,647.09, 3,653 and 1,468.27

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Solution

The fourth proportional to 2,647.09, 3,653 and 1,468.27 is: 2,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.09 : 3,653 = 1,468.27 : x
  2. Step 2: Convert to fraction form
    2,647.09/3,653 = 1,468.27/x
  3. Step 3: Cross multiply
    2,647.09x = 3,653 × 1,468.27
  4. Step 4: Simplify right side
    2,647.09x = 5,363,590.31
  5. Step 5: Solve for x
    x = 5,363,590.31/2,647.09
  6. Step 6: Final answer
    x = 2,026.22

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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.