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Finding the Fourth Proportional to 2,647.29, 3,644.91 and 2,248.16

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Solution

The fourth proportional to 2,647.29, 3,644.91 and 2,248.16 is: 3,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.29 : 3,644.91 = 2,248.16 : x
  2. Step 2: Convert to fraction form
    2,647.29/3,644.91 = 2,248.16/x
  3. Step 3: Cross multiply
    2,647.29x = 3,644.91 × 2,248.16
  4. Step 4: Simplify right side
    2,647.29x = 8,194,322.64
  5. Step 5: Solve for x
    x = 8,194,322.64/2,647.29
  6. Step 6: Final answer
    x = 3,095.36

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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.